Instructions: Use the substitution method to solve the following system.−6x+y=−3−6𝑥+𝑦=−35x−y=25𝑥−𝑦=2Solution: (( Answer 1 Question 12 ,, Answer 2 Question 12 )
Question
Instructions:
Use the substitution method to solve the following system.
Solution:
(( Answer 1 Question 12 ,, Answer 2 Question 12 )
Solution
The system of equations given is:
-6x + y = -3 5x - y = 2
Step 1: Solve one of the equations for one variable.
Let's solve the first equation for y:
y = 6x - 3
Step 2: Substitute the expression from step 1 into the other equation.
Substitute y = 6x - 3 into the second equation:
5x - (6x - 3) = 2 5x - 6x + 3 = 2 -x + 3 = 2 -x = 2 - 3 -x = -1 x = 1
Step 3: Substitute x = 1 into the first equation to solve for y:
-6(1) + y = -3 -6 + y = -3 y = -3 + 6 y = 3
So, the solution to the system of equations is x = 1, y = 3.
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