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What is the value of y in the system of equations shown below?

7x − 7y = 49
3x − 16y = 34

Select one:
A. -2
B. -1
C. 0
D. 1

Respuesta :

Answer:

B. -1

Step-by-step explanation:

Given

[tex]7x-7y =49\\7(x-y)=49\\x-y =\frac{49}{7}\\x-y= 7 \ \ \ \ equation \ 1[/tex]

[tex]3x- 16y = 34 \ \ \ \ equation \ 2[/tex]

Now multiplying equation 1 with 3 on both side we get,

[tex]3\times (x-y)= 3 \times 7\\3x-3y=21 \ \ \ \ \ equation \ 3[/tex]

Now Subtracting above equation 3 from equation 2 we get.

[tex]-13y=13\\y= -1[/tex]

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