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44 votes
44 votes
Use elimination to solve the system of equations.

–4 x – 6y = –38
5 x + 18y = 79

User MohammadReza Abiri
by
3.2k points

1 Answer

18 votes
18 votes

Answer:

(x , y)=(5 , 3)

Explanation:

-4x-6y=-38

5x+18y=79

Multiply both sides of the equation by 3

-12x-18y=-114

5x+18y=79

Sum the equations vertically to eliminate at least one variable

-7x=-35

Divide both sides of the equation by -7

x=5

Substitute the given value of x into the equation -4x-6y=38

-4x5-6y=-38

Solve the equation for y

y=3

The possible solution of the system is the ordered pair (x , y)

(x , y) =(5 , 3)

Check if the given ordered pair is the solution of the system of equations

-4x5-6x3=-38

5x5+18x3=79

Simplify the equalities

-38=-38

79=79

Since all of the equalities are true, the ordered pair is the solution of the system

(x , y)=(5 , 3)

User Monet
by
2.8k points