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Solve the following system of equations by substitution.
x+2y=-5
-x-2y=5

User Kersten
by
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1 Answer

3 votes

Answer: The solution to the system of equations is x = -5 and y = 0.

Explanation:

To solve this system of equations by substitution, you can start by solving one of the equations for one of the variables. For example, you can solve the first equation for x:

x + 2y = -5

x = -5 - 2y

Then, you can substitute this expression for x into the second equation to solve for y:

-(-5 - 2y) - 2y = 5

5 + 2y - 2y = 5

5 = 5

Now that you have solved for y, you can substitute this value back into one of the original equations to solve for x. If you substitute y = 0 back into the first equation, you get:

x + 2(0) = -5

x = -5

So, the solution to the system of equations is x = -5 and y = 0.

User Manoj Madanmohan
by
9.0k points