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Solve using elimination.

–5x − 7y = 2
5x + 9y = 6

User Jksoegaard
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1 Answer

5 votes

Answer:

x = -16/5, y = 2.

Explanation:

To use elimination, we want to eliminate one of the variables by adding the two equations together. Notice that if we add the left-hand sides of the two equations, we get:

-5x - 7y + 5x + 9y = -2 + 6

The x terms cancel out, leaving us with:

2y = 4

Dividing both sides by 2, we get:

y = 2

Now we can substitute y = 2 into one of the original equations, such as:

-5x - 7y = 2

-5x - 7(2) = 2

Simplifying, we get:

-5x - 14 = 2

Adding 14 to both sides, we get:

-5x = 16

Dividing both sides by -5, we get:

x = -16/5

Therefore, the solution to the system of equations is:



User Infeligo
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