Answers
Greetings.
Solving by substitution, we can substitute either y-term or x-term. For a fast and better way, I recommend you to substituting x-term.
[tex] - x + 3y = 7 \\ x - 4y = - 10[/tex]
Because for x-term, we don't have to move the coefficient to another side as the coefficient for x-terms are both - 1 and 1.
What we need to do is that we move everything to another side excluding x-term.
I will be moving the second equation to another side.
[tex]x = - 10 + 4y[/tex]
Now our x-term for the seco d equation is - 10+4y.
Substitute x =-10+4y in the first equation.
[tex] - ( - 10 + 4y) + 3y = 7[/tex]
We should get like this. Then we distribute the negative sign in the brackets.
[tex]10 - 4y + 3y = 7[/tex]
Remember that negative multiplying negative equal positive.
[tex] - y + 10 = 7[/tex]
Subtract as we get -y then we move 10 to another side, leaving y as the subject.
[tex] - y = 7 - 10 \\ - y = - 3 \\ y = \frac{ - 3}{ - 1} \\ y = 3[/tex]
Also negative dividing negative equal positive as well. We have the y-value but because it is the two equations. We need to find the x-value as well.
Therefore, substituting y-value in any given equations. It is better to substitute y-value in the equation with less coefficient value.
I will be substituting y-value in the first equation.
[tex] - x + 3y = 7[/tex]
Substitute y = 3 in the equation.
[tex] - x + 3(3) = 7 \\ - x + 9 = 7 \\ - x = 7 - 9 \\ - x = - 2 \\ x = \frac{ - 2}{ - 1} \\ x = 2[/tex]
Answer in coordinate point/ordered pair as we get (2,3)
Related Questions
Brenna saved 36% on a $15 pair of sunglasses. Choose the correct expression to find 36% 0f 15$. ( Worth 25 points. )
A. 36 x 15
B. 36 x 0.15
C. 3.6 x 15
D. 0.36 x 15
Answers
Answer:
The answer is D.
Step-by-step explanation:
Sadly, this used to be my account before mods fiddled with my account, kept adding and subtracting points, and taking away my brainliest between January 2021 and March of 2021.
AHHH PLEASE HELP ITS MY LAST QUESTION ILL GIVE U FREE ART JUST HALP
Answers
Answer:
Imao still mad
Step-by-step explanation:
PLEASE HELP DONT SKIP
Find the missing side marked "?"
Answers
Answer:
23
Step-by-step explanation:
sin (55)/a = sin(20)/10
Convert the expression
4 square root 5 to exponential form.
Answers
Answer:
I think the answer must be D.
What is an equation of the line that passes through the points (-5, -8) and (-4,-6)?
Put your answer in fully reduced form.
Answers
Answer:
Y = 2x + 2
Step-by-step explanation:
m = y2-y1 / x2-x1
Hope this helps. Pls give brainliest.
Solve: -3(1 + 4x) = 33
What dies x equal?
X =
Answers
Answer:
X = -3
Step-by-step explanation:
-3 - 12x = 33
-12x = 33 + 3
-12x = 36
-12x/-12 = 36/-12
X = 3
what is
equivalent to 15x + 3?
Answers
3(5x+1)
Becauuse 3 time 5 is 15 and 3 time 1 is 3
Marissa is baking chocolate chip cookies. She has a total of 7 1/3 cups of chocolate chips. If each batch of cookies uses 2/3 of a cup of chocolate chips enter the greatest number of batches of cookies she can bake
Answers
Since 2/3 cup of chocolate chips = 1 batch
So 1/3 would = .5 (half a batch)
7 1/3 into a an improper fraction (just so it’s easier) = 22/3
In order to make 1/3 be 22/3 you would have to multiply 22 by 1/3
So you multiply 1/3 x 22 = 22/3
And you also multiply .5 x 22 = 11
So 22/3 (aka 7 1/3) serves 11 batches.
Not sure if this is right but the method I’m using is called the unitary method.
Find the coordinates for the midpoint of with endpoints M(-3, 8) and 1(-7, 6)?
Answers
Answer:
The mid point coordinates are: (-5, 7)
Step-by-step explanation:
Write the point-slope form of the equation of the line through the given point with the given
slope.
18) through: (3, -5), slope= -3
Answers
Answer:
The point-slope form of the equation is:
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]Step-by-step explanation:
Given
point (3, -5)slope = -3We know the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m = -3 and the point (3, -5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]
Thus, the point-slope form of the equation is:
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]Which of the following orders 2/3, 25%, 3/5, and 0.40 from least to greatest?
Answers
When it comes to positive and negative sign if two sign are the same they’re negative right and if they are different they are positive yes or no
Answers
Answer:
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
I hope this was the answer you were looking for - Lily~Senpai :P
What’s the constant of proportionality in this story?
For four hours I drove an average of about 60mph and made it 240 miles. i don't understand
Answers
60 mph means:
60 miles in 1 hour
×4 ×4
240 miles in 4 hours
You need to multiply both by the same number, so it is proportional.
9514 1404 393
Answer:
60 mph, or 4 h
Step-by-step explanation:
In the relationship between distance, speed, and time, we find that distance is jointly proportional to speed and time. That means, the equation of proportionality can be written two ways:
distance = speed × time
distance = (60 mph) × time . . . . . 60 mph is the constant of proportionality
or ...
distance = time × speed
distance = (4 h) × speed . . . . . 4 h is the constant of proportionality
__
Usually, we take time to be the independent variable, so the first version applies. However, the second version is also a legitimate answer.
which statement is true about the goverment of south carolina under its first constitution
Answers
Answer:
WHERE"S THE OPTION PUT AN OPTION
You borrow $2500 to buy a new riding mower. The simple interest rate is 6%. You pay the loan off after 3 years. What is the total amount you payed for the loan?
Answers
Answer:
$2950
Step-by-step explanation:
The equation for simple interest is A = P (1 * rt) where A is the final amount, P is the principal or initial amount, r is the rate, and t is the time.
In this problem, P = $2500, the rate is 6% so r = 0.06, and t = 3. Filling in the equation, you get A = 2500 (1 + 0.06*3).
This should come out to A = $2950.
Who was chosen by the Second Continental Congress to write the Declaration of Independence?
Thomas Jefferson
Thomas Paine
John Hancock
Answers
Answer:
Thomas Jefferson
Step-by-step explanation:
Why'd you put this in the math section lol? Anyways, hope this helps! :D
how do you multiply 67649005x798569847 and what is the answer]r?
Answers
Answer:
5.4022456e+16
es of two children are 11 and 8 years.
In how many years' time will the product of
The
their ages be 208?
Answers
Answer:
In 5 years the product of their ages will be 208
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
[tex]88+11x+8x+x^2=208[/tex]
Simplifying:
[tex]x^2+19x-120=0[/tex]
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Write the linear equation for each of the lines below:
Answers
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b. The m would equal 3 because it goes up 3 and over 1. The b would equal 2 because that is the y-intercept.
PLZ HELP Due in an hour!
Ali, a seventh grade student, was asked to flip a penny 100 times and record how many tails and heads came up. Before doing the experiment, Ali predicted the probability of heads and tails to both be 0.5. When the experiment was complete Ali counted 77 tails and 23 heads.
1. Where Ali’s results consistent with her predictions? Explain your answer.
2. According to Ali’s experiment results, predict how many heads Ali would get if she were to flip the penny 200 times.
3. What would you expect to happen to the results the more times Ali flips the penny?
Answers
Answer:
1. No, 2. 46, 3. The amount of tails flips would be more than the amount of heads flips.
Step-by-step explanation:
1 is no because .77 and .23 are not equal to .5, so her prediction was wrong. 2 is 46 because if you double both the numbers (to get a total of 200 flips), you would get 154 tails and 46 heads. 3 is more tails than heads because that is what we have observed.
What is the x value of the solution to the system of equations?
5x + 4y = 8
2x-3y = 17
O-3
O-2
O 4
O5
Answers
Answer:
4
Step-by-step explanation:
Determine the angle between the two lines with equations 4x - 5y = 11 and 2x + 3y = 7.
Answers
Answer:
The angle between the two lines is 72.35° ⇒ to the nearest hundredth
Step-by-step explanation:
The angle between the two lines is the difference between their angles with the positive part of the x-axis (Ф = Ф[tex]_{2}[/tex] - Ф[tex]_{1}[/tex]) The slope of the line equal to the tangent of the angle between the line and the positive part of the x-axis (m = tan Ф)The slope of the line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equation of the first line is 4x - 5y = 11
∴ a = 4 and b = -5
→ By using the 3rd rule of the slope above
∵ m[tex]_{1}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]
∴ m[tex]_{1}[/tex] = 0.8
→ By using the 2nd rule above
∵ tan Ф[tex]_{1}[/tex] = 0.8
∴ Ф[tex]_{1}[/tex] = [tex]tan^{-1}[/tex](0.8)
∴ Ф[tex]_{1}[/tex] = 38.66° ⇒ to the nearest hundredth
∵ The equation of the first line is 2x + 3y = 7
∴ a = 2 and b = 3
→ By using the 3rd rule of the slope above
∵ m[tex]_{2}[/tex] = [tex]\frac{-2}{3}[/tex]
∴ m[tex]_{2}[/tex] = [tex]-\frac{2}{3}[/tex]
→ By using the 2nd rule above
∵ tan Ф[tex]_{2}[/tex] = [tex]-\frac{2}{3}[/tex]
∴ Ф[tex]_{2}[/tex] = [tex]tan^{-1}[/tex]( [tex]-\frac{2}{3}[/tex])
∴ Ф[tex]_{2}[/tex] = -33.69° ⇒ to the nearest hundredth
→ By using the 1st rule above
∵ Ф = -33.69 - 38.66
∴ Ф = -72.35°
→ Ignore the negative sign
∴ The angle between the two lines is 72.35° ⇒ to the nearest hundredth
V.I.N:
You can use this rule to find the angle between 2 lines tan Ф = I[tex]\frac{m_{2}-m_{1}}{1+m_{1}.m_{2}}[/tex]I
The point that is the reflection of D across the x-axis and the y-axis is point , and the coordinates of this point are . The reflection of point L across x-axis is point , and the coordinates of this point are .
Answers
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
Step-by-step explanation:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
Answer:
it is going to be
E
(3.5,3)
K
(-3.5,-5 )
Step-by-step explanation:
The point that is the reflection of D across the x-axis and the y-axis is point E , and the coordinates of this point are (3.5,3) . The reflection of point L across x-axis is point K , and the coordinates of this point are (-3.5,-5).
(8 + 2c) + (-4 + 5m) + (7 + 3n)
group the like terms to simplify the equation
Answers
Answer:
11+2c+5m+3n
Step-by-step explanation:
8-4+7=11
you cant add 2c,5m,and 3n so you just leave them as 2c+5m+3n
then you add 11 to it and get 11+2c+5m+3n
What is the solution of the linear-quadratic system of equations?
y=x^2+5x−3
y−x=2
Answers
Answer:
x = 1, y = 3
x = -5, y = -3
Step-by-step explanation:
Point Form:
(1,3) , (-5, -3)
y = x²+5x−3
y−x = 2 = y = x+2
----------------------------------
x+2 = x²+5x-3
x² + 4x -5 =0
(x+5)(x-1)=0
x ₁= -5
x₂ = 1
-----------------------------------
y₁ = -5+2
y₁ = -3
y₂ = 1+2
y₂ = 3
Select the two correct factors of the polynomial:
x2 – X – 42
(x-7)
(x+6)
(x+7)
(x-6)
(x-21)
(x+2)
Answers
Step-by-step explanation:
x² - x - 42
= (x + 6)(x - 7).
Answer:
x-6 is the correct answer for this
Match the sequence (term) with the correct type of sequence (definition).
1. 5, 10, 15, 20,
2. 128, 32, 8, 2,
3. 20, 17, 14, 11,
4. 1, 3, 9, 27,
Options Below
a. Geometric, common ratio is 0.25
b. Geometric, common ratio is 3
c. Arithmetic, common difference is 5
d. Arithmetic, common difference is −3
Answers
Answer:
1. 5, 10, 15, 20, = C. Arithmetic, common difference is 5
2. 128, 32, 8, 2, = Geometric , Common ratio is 0.25
3. 20, 17, 14, 11, = Arithmetic , Common difference is -3
4. 1, 3, 9, 27, = Geometric , common ratio is 3
Step-by-step explanation:
In arithmetic sequence we calculate the common difference and it is gotten by:
[tex]T_2-T_1 \: or \\ T_4-T_3[/tex]
In geometric progression we calculate common ratio and it is gotten by :
[tex] \frac{T_2}{T_1} \: or \: \\ \frac{T_4}{T_3} [/tex]
Find the measure of the angle indicated in bold
Answers
Answer:
29) 60°
30) 80°
Step-by-step explanation:
29)
8x + 4 = 11 + 7x
x = 7
∴ ∠ = 11 + 7(7) = 60
30)
14x - 4 = 12x + 8
2x = 12
x = 6
∴ ∠ = 14(6) - 4 = 80
What is the image of (0,8) after a dilation by a scale factor of 1/2 centered at the origin?
Answers
Answer:(0,4)
Step-by-step explanation:
yassss kwqueeennnnnn
Answers
Answer:
e
Step-by-step explanation:
Answer:
periodd aahh
Step-by-step explanation:
