Respuesta :
Answer:
x = 3
y = 2
Step-by-step 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
Answer:
x = 3, y = 2
Step-by-step 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 )