Solve the system of equations by the addition method

Question

-7x-y= -12  and 4x +y=6.

Answer 1

Elimination method :

The system of equations are .

Write the equations in column form and add the equations to eliminate y - variable.

The resultant equation is .

Substitute the value of in either of the original equations and solve for y.

The first equation: .

.

The solution .