which ordered pair is the solution to the system of equations below using the elimination method?

Question

8x-7y=17

-2x+13y=7

 

A. (1,4)

B. (3,1)

C. (4,2)

D. (2,5)

 

Answer 1

8x - 7y = 17              eq1
-2x + 13 y = 7           eq2

 

 

Multiply eq2 by 4.  Keep eq1.

 

8x - 7y = 17                  eq1

-8x + 52y = 28               eq2

 

 

Add the two equations to eliminate the x terms.

 

45y = 45

 

y = 1

 

 

The only answer choice that has 1 as a y coordinate is choice (B).