Which ordered pair is the solution of the following system of equations?

Question

2x+ 3y = 7
 x+ y = 3

Answer 1

Elimination method :

The system of equations are .

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

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

The resultant equation is .

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

The first equation: .

.

The solution .