Instructions: Use the substitution method to solve the following system.4x+5y=−224𝑥+5𝑦=−22−4x+y=10−4𝑥+𝑦=10Solution: (( Answer 1 Question 16 ,, Answer 2 Question 16 )
Question
Instructions: Use the substitution method to solve the following system.4x+5y=−224𝑥+5𝑦=−22−4x+y=10−4𝑥+𝑦=10Solution: (( Answer 1 Question 16 ,, Answer 2 Question 16 )
Solution
The system of equations given is:
4x + 5y = -22 -4x + y = 10
Step 1: Solve one of the equations for one variable.
Let's solve the second equation for y:
y = 4x + 10
Step 2: Substitute the expression from step 1 into the other equation.
Substitute y = 4x + 10 into the first equation:
4x + 5(4x + 10) = -22 4x + 20x + 50 = -22 24x + 50 = -22 24x = -72 x = -3
Step 3: Substitute x = -3 into the equation y = 4x + 10 to solve for y:
y = 4(-3) + 10 y = -12 + 10 y = -2
So, the solution to the system of equations is x = -3 and y = -2.
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