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Solve each system by elimination

4x+4y=4
-x-4y=-14

User Dallion
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1 Answer

5 votes

Answer:

Explanation:

To solve the system of equations by elimination, we want to eliminate one of the variables by adding the two equations together. We can add the equations as follows:

4x + 4y = 4

(-x - 4y = -14)

3x = -10

Now we can solve for x:

3x = -10

x = -10/3

Substitute this value of x into either of the original equations to solve for y. We can use the first equation:

4x + 4y = 4

4(-10/3) + 4y = 4

-40/3 + 4y = 4

4y = 4 + 40/3

4y = 52/3

y = 13/3

Therefore, the solution to the system of equations is x = -10/3 and y = 13/3, or (-10/3, 13/3).

User Aayush Mahajan
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