What is the solution of the system?

Use the elimination method.

4x+2y=18

2x+3y=15

{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