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Andrej [43]
3 years ago
10

Claire completed the steps to solve the system of equations.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

Answer: D

Step-by-step explanation:

8_murik_8 [283]3 years ago
5 0

Option D:

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Solution:

The system of equations are

4x – 2y = 4 – – – – (1)

3x + 3y = 21 – – – – (2)

Step 1: Multiply the equation (1) by 3 and equation (2) by 2

12x – 6y = 12

6x + 6y = 42

Step 2: Add the above equations.

\begin{aligned}&12 x-6 y=12\\&6 x \ +\ 6 y\ =42\\&-------\\&18x\ \ =\ 54\end{aligned}

⇒ 18x = 54

Step 3: Divide both sides of the equation by 18.

⇒ x = 3

Step 4: Substitute x = 3 in equation (1)

4(3) – 2y = 4

⇒ 12 – 2y = 4

Subtract 12 from both sides of the equation.

⇒ –2y = –8

Divide by –2 on both sides of the equation.

⇒ y = 4

Step 5: The solution is (3, 4).

But Claire's solution is (3, –4).

Claire's solution is not correct in step 4.

Option D is the correct answer.

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

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Answer:

D

Step-by-step explanation

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4 0
3 years ago
Leon started to try to transform the expressions 6g + (g + 2) + 3 to determine if it is equivalent to the expression 6 + 7g. His
hodyreva [135]
By using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
Option (A) is correct .
Step-by-step explanation:
Definition of associative property of multiplication
Let us assume that x , y and z be the three real numbers .
x × (y × z ) = (x × y) × z
This is called the associative property .
As given the expression be as follow
= [(5*3)*12]
Here
x = 5 , y = 3 , z = 12
By using the associative property
[(5*3)*12] = [5*(3*12)]
Therefore by using the associative property [(5*3)*12] is equal to
[5*(3*12)] .

Read more on Brainly.com - brainly.com/question/3604873#readmore
7 0
3 years ago
Read 2 more answers
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Feliz [49]

Answer:

The measure of the angle JKG is:

m∠JKG = 56°

Step-by-step explanation:

<u>Given</u>

m∠JKG = 76-2x

m∠FHK = 6x-4

J is a midpoint of the segment FG and K is a midpoint of the segment GH.

<u>To determine</u>

m∠JKG = ?

Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH

We know that two triangles are similar if the only difference is size. So, the angles remain the same.

so m∠JKG and m∠FHK are equal.

i.e.

m∠JKG = m∠FHK

substitute m∠JKG = 76-2x and m∠FHK = 6x-4

76-2x = 6x-4

6x+2x = 76 + 4

8x = 80

divide both sides by 8

8x/8 = 80/8

x = 10

Therefore, the value of x = 10

As

m∠JKG = 76-2x

substitute x = 10

m∠JKG = 76 - 2(10)

             = 76 - 20

             = 56°

Therefore, measure of the angle JKG is:

m∠JKG = 56°

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liubo4ka [24]
5+5= 10
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Y=0.40x because the sale which is 40% off would be on x amount of shirts
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