Use substitution to solve each system of equations.

Question

If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
3x-y=4
2x-3y=-9

Answer 1

Substitution method :

The equations of linear system are .

Solve the equation 1: for y, since the y has a coefficient of .

Subtract 3x from each side.

Multiply each side by .

.

Substitute the value of in the equation 2: and solve for x.

Subtract 12 from each side.

Divide each side by negative 7.

.

Substitute the value of in the equation to find the value of y.

.

The solution .