Question

What is the answer to this
3x-y=7
2x-2y=2 ​

Answer 1

x = 3, y = 2

Explanation:

Given the 2 equations

3x - y = 7 → (1)

2x - 2y = 2 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 6x + 2y = - 14 → (3)

Add (2) and (3) term by term to eliminate y

- 4x + 0 = - 12

- 4x = - 12 ( divide both sides by - 4 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) - y = 7

9 - y = 7 ( subtract 9 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

solution is (3, 2 )

Answer 2

x = 3

y = 2

Explanation:

3x - y = 7 ------------(i)

2x - 2y = 2 ---------(ii)

Multiply equation (i) by (-2)

(i)*(-2) - 6x + 2y = -14

(ii) 2x - 2y =2 {Add both equation. now y will be eliminated}

-4x = -12 {Divide both sides by -4}

x = -12/-4

x = 3

Plug in x = 3 in equation (i)

2*3 - 2y = 2

6 - 2y = 2

Subtract 6 from both sides

-2y = 2 - 6

-2y = -4

Divide both sides by 2

y = -4/-2

y = 2