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Use elimination to solve the system below. 5x+3y=2 5x-3y=-22

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Final answer:

To solve the system using elimination, add the equations to cancel out the y terms. The solution is x = -2, y = 4.

Step-by-step explanation:

To solve the system of equations using elimination, we'll add the two equations together. This will eliminate the y terms, allowing us to solve for x.

Add the equations:

5x + 3y = 2

5x - 3y = -22

The y terms cancel each other out:

10x = -20

Divide both sides by 10:

x = -2

Substitute the value of x into one of the original equations to solve for y:

5(-2) + 3y = 2

-10 + 3y = 2

3y = 12

Divide both sides by 3:

y = 4

The solution to the system is x = -2, y = 4.

User Emirhan Selim Uzun
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