Instructions: Use the substitution method to solve the following system.−6x+y=19−6𝑥+𝑦=194x−4y=−164𝑥−4𝑦=−16Solution: (( Answer 1 Question 7 ,, Answer 2 Question 7 )
Question
Instructions: Use the substitution method to solve the following system.−6x+y=19−6𝑥+𝑦=194x−4y=−164𝑥−4𝑦=−16Solution: (( Answer 1 Question 7 ,, Answer 2 Question 7 )
Solution
The system of equations given is:
-6x + y = 19 4x - 4y = -16
Step 1: Solve one of the equations for one variable.
Let's solve the first equation for y:
y = 6x + 19
Step 2: Substitute the expression from step 1 into the other equation.
Substitute y = 6x + 19 into the second equation:
4x - 4(6x + 19) = -16 4x - 24x - 76 = -16 -20x - 76 = -16 -20x = 60 x = -3
Step 3: Substitute x = -3 into the first equation to solve for y.
-6(-3) + y = 19 18 + y = 19 y = 1
So, the solution to the system of equations is x = -3 and y = 1.
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