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Solve the system of equations below using the elimination method.

Show how you determined your solution.
4x+y=23
3x-y=12

User Djuth
by
5.1k points

1 Answer

1 vote

Answer:

The solution is (5, 3)

Explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction. This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

---------------

7x = 35

Then x must be 5.

Substituting 5 for x in the first equation, we get

4(5) + y = 23. Then 20 + y = 23, or y = 3.

The solution is (5, 3)

User Maxine
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4.6k points