Question

What is the solution of the system?

Answer 1

{4x+2y=18
{2x+3y=15           -divide both sides by -2
                                 -2x-y=-9
                                  2x+3y=15
                            -sum the equations vertically to
                              eliminate at least one variable
                               2y=6 divide both sides of the equation
                                         by 2
                               y=3
             -substitute the given value of y into the simplest equation
                               2x+3*3=15
                                    -solve for x
                                         x=3
                  -the solution of the system is the ordered pair (x,y)
                                   (x,y)= (3,3)
                                         Check √
-check if the given ordered pair is a solution of the system of equations
{4*3+2*3=18
{2*3+3*3=15
simplify the inequalities 
{18=18
{15=15
-since all of the equalities are true the ordered pair is the solution of the system