Question

6x – 2y = 10 2x + 3y = 51 Solving the first equation above for y gives: y = x – 5

Answer 1

Correct answers is

Explanation:

1. 3

2. B

3. 6

4. (6,13)

Answer 2

x =6

y =13

Explanation:

This is the method I am familiar with.

I Hope It helps :)

`METHOD- 1 : Elimination\\6x - 2y=10------(1)\\2x+3y =51------(2)\\Multiply -eq-(1)- by -the-coefficient-of-x-in-equation (2)\\Multiply-eq-(2) -by -the-coefficient-of-x-in-equation (1)\\6x - 2y=10------(1) *2\\2x+3y =51------(2)*6\\\\12x-4y=20 ------(3)\\12x+18y=306 ------(4)\\Subtract -eq- (4)- from- eq -(3)\\-22y =-286\\(-22y)/(-22) =(-286)/(-22) \\y =13\\`

`Substitute- 13- for y -in-equation -(1)-or-(2)\\6x - 2y=10------(1)\\6x -2(13)=10\\6x -26=10\\6x =10+26\\6x =36\\(6x)/(6) =(36)/(6) \\x =6`