solve and check it.

Question

2x-Y=1
x=-3y+11.

Answer 1

Substitution method :

The equations of linear system are .

Substitute the value of in the equation 1: and solve for y.

Apply distributive property: .

Subtract 22 from each side

Divide each side by negitive 7.

Cancel common terms.

.

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

.

The solution .

Check :

Substitute the values in equation 1: .

.

The above statement is true.So is a solution of the given system.