Question

Solve the linear system of equations using addition. Graph the equations to verify your solution.

-4x = y + 3
y= -4x - 3

Answer 1

Infinite solutions.

Explanation:

-4x = y + 3......(1)

y = -4x - 3........(2)

Rearranging equation (1)

y = -4x - 3 ------(3)

Adding (2) and (3) we get

0 = 0.

The original equations are identical and their graph will be the same straight line.

Any point on the line is a solution of this system, so there are infinite solution.

Answer 2

Infinite solutions.

Explanation:

-4x = y + 3......(1)

y = -4x - 3........(2)

Rearranging equation (1)

y = -4x - 3 ------(3)

Adding (2) and (3) we get

0 = 0.

The original equations are identical and their graph will be the same straight line.

Any point on the line is a solution of this system, so there are infinite solution.