Instructions: Use the substitution method to solve the following system.8x−5y=−48𝑥−5𝑦=−4x−5y=−18𝑥−5𝑦=−18Solution: (( Answer 1 Question 13 ,, Answer 2 Question 13 )
Question
Instructions: Use the substitution method to solve the following system.8x−5y=−48𝑥−5𝑦=−4x−5y=−18𝑥−5𝑦=−18Solution: (( Answer 1 Question 13 ,, Answer 2 Question 13 )
Solution 1
It seems like there's a bit of confusion in your question as it's not clear what system of equations you want to solve. However, I'll show you how to use the substitution method to solve a system of equations using an example.
Let's consider the system of equations:
- 8x - 5y = -48
- x - 5y = -18
Step 1: Solve one of the equations for one variable.
Let's solve the second equation for x:
x = 5y - 18
Step 2: Substitute the expression from step 1 into the other equation.
Substitute x = 5y - 18 into the first equation:
8(5y - 18) - 5y = -48 40y - 144 - 5y = -48 35y - 144 = -48 35y = 96 y = 96 / 35 y = 2.74 (approx)
Step 3: Substitute y = 2.74 into the equation x = 5y - 18 to solve for x:
x = 5(2.74) - 18 x = 13.7 - 18 x = -4.3 (approx)
So, the solution to the system of equations is x = -4.3 and y = 2.74.
Solution 2
It seems like there's a bit of confusion in your question as the equations provided are not clear. However, I'll provide a general step-by-step guide on how to solve a system of equations using the substitution method.
-
Start with two equations. For example, let's use:
8x - 5y = -48 x - 5y = -18
-
Solve one of the equations for one variable. In this case, the second equation is already solved for x:
x = 5y - 18
-
Substitute the expression from step 2 into the other equation. Substituting x in the first equation gives:
8(5y - 18) - 5y = -48
-
Simplify and solve for the remaining variable. This gives:
40y - 144 - 5y = -48 35y - 144 = -48 35y = 96 y = 96 / 35 y = 2.74 (approx)
-
Substitute y = 2.74 back into the second equation to solve for x:
x = 5(2.74) - 18 x = -4.3 (approx)
So, the solution to the system of equations is x = -4.3 and y = 2.74. Please replace the equations with your own to get the correct answer.
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