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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 )

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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:

  1. 8x - 5y = -48
  2. 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.

This problem has been solved

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.

  1. Start with two equations. For example, let's use:

    8x - 5y = -48 x - 5y = -18

  2. Solve one of the equations for one variable. In this case, the second equation is already solved for x:

    x = 5y - 18

  3. Substitute the expression from step 2 into the other equation. Substituting x in the first equation gives:

    8(5y - 18) - 5y = -48

  4. 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)

  5. 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.

This problem has been solved

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