Question

Solve the system using elimination.
2x + 3y = -2
3х – 6у = 18

Answer 1

Explanation:

2x+3y= -2.......... 1

3x - 6y = 18......... 2

Multiply both Sides of equation 1 by 2

4x + 6y = -4

3x - 6y = 18

(add Like terms)

7x = 14 (devide both Sides by 7)

.°. x = 2

Substitude x = 2 into equation 1

.°. 2(2) + 3y = -2 (multiple the digit)

4 + 3y = -2 (Move 4 to the right and change it's sign)

3y = -6 (devide both side by 3)

y = -2

Final answers x = 2 ; y = -2

{2 ; -2}

Answer 2

x = 2 and y = -2

Explanation:

We must first eliminate the y-variable:

2x + 3y = -2

3x - 6y = 18

4x + 6y = -4

3x - 6y = 18

_________

7x = 14

x = 2

Since we know x=2, we plug that back into one of the original equations to find y:

2x + 3y = -2

2(2) + 3y = -2

4 + 3y = -2

3y = -6

y = -2

Therefore, x = 2 and y = -2