330,497 views
17 votes
17 votes
Solve the system of linear equations by elimination 5x+2y=9 3x-2y=-1

User Jesus Is Lord
by
2.7k points

1 Answer

17 votes
17 votes

Answer: x = 1, y = 2

Explanation:

We will solve the linear system of equations by elimination by getting opposite leading coefficients.

Given:

5x + 2y = 9

3x - 2y = -1

Multiply the top equation by 3 and the bottom by -5:

3(5x + 2y = 9)

-5(3x - 2y = -1)

-

15x + 6y = 27

-15x + 10y = 5

Add the equations together:

16y = 32

Divide both sides of the equation by 12:

y = 2

Lastly, we will substitute to solve for x:

5x + 2y = 9

5x + 2(2) = 9

Multiply:

5x + 4 = 9

Subtract 4 from both sides of the equation:

5x = 5

Divide both sides of the equation by 5:

x = 1

User Steven Shaw
by
2.3k points