Question

What is the solution of the system?

Use the elimination method.

4x+2y=18
2x+3y=15

Answer 1

-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

Explanation:

Answer 2

{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