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Instructions: Use the substitution method to solve the following system.4x+y=−44𝑥+𝑦=−47x+3y=37𝑥+3𝑦=3Solution: (( Answer 1 Question 6 ,, Answer 2 Question 6 )

Question

Instructions:

Use the substitution method to solve the following system.

4x+y=44 4x + y = -44 x+y=4 x + y = -4 7x+3y=37 7x + 3y = 37 x+3y=3 x + 3y = 3

Solution: (( Answer 1 Question 6 ,, Answer 2 Question 6 )

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Solution

The system of equations given is:

  1. 4x + y = -4
  2. 7x + 3y = 3

Step 1: Solve the first equation for y.

y = -4 - 4x

Step 2: Substitute y in the second equation with the expression we found in step 1.

7x + 3(-4 - 4x) = 3 7x - 12 - 12x = 3 -5x - 12 = 3 -5x = 15 x = -3

Step 3: Substitute x = -3 into the first equation to solve for y.

4(-3) + y = -4 -12 + y = -4 y = 8

So, the solution to the system of equations is x = -3 and y = 8.

This problem has been solved

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