Question

Solve the system
x+2y=-11
3y=x+1

Answer 1

Answer: x=-7 y=-2

Explanation:

x+2y=-11

3y=x+1

x=-2y-11 (1)

3y=x+1 (2)

Substitute the value of x of equation (1) into equation (2):

3y=-2y-11+1

3y=-2y-10

3y+2y=-2y-10+2y

5y=-10

Divide both parts of the equation by 5:

y=-2

Substitute the value of y=-2 into equation (1):

x=-2(-2)-11

x=4-11

x=-7

Thus, (-7,-2)

Answer 2

x=-13, y=-4

Explanation: