determine the best method to solve each system of equations. Then solve the system.

Question

3x-4y=-10 and  5x+8y=-2.

Answer 1

Elimination method :

The system of equations are .

To get two equations that contain opposite terms multiply the first equation by 2.

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 .