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=−44𝑥+𝑦=−47x+3y=37𝑥+3𝑦=3Solution: (( Answer 1 Question 6 ,, Answer 2 Question 6 )
Solution
The system of equations given is:
- 4x + y = -4
- 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.
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