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Solve using substitution.x = –4–x − 5y = 14

Question

Solve using substitution.x = –4–x − 5y = 14

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Solution

Sure, let's solve the system of equations step by step using substitution.

The system of equations is:

  1. x = -4 - x
  2. 5y = 14

Step 1: Solve the first equation for x

x = -4 - x

This simplifies to:

2x = -4

Divide both sides by 2 to solve for x:

x = -4 / 2 = -2

Step 2: Substitute x = -2 into the second equation

5y = 14

Substitute x = -2:

5y = 14

Divide both sides by 5 to solve for y:

y = 14 / 5 = 2.8

So, the solution to the system of equations is x = -2 and y = 2.8.

This problem has been solved

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