Question

Solve the system of equations.

x + 3y = −1
2x + 2y = 6


(−4, 1)

(2, −1)

(4, −1)

(5, −2)

Answer 1

(5,-2)

Explanation:

Multiplying the first equation by 2 we get

2x+6y=-2

Subtracting the second equation we get

4y=-8

y=-2

Plugging y as -2 into the equation we get x=5

Answer 2

(5, -2)

Explanation:

x + 3y = −1

2x + 2y = 6 ⇒ x+y=3

Subtract second equation from the first one:

• x+3y=-1
• x+y=3
• 3y-y= -1 -3
• 2y= -4
• y= -2
• x= 3+2= 5