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Solve the equation for y. Then find the value of y for each value of x.

y plus 5 xequals8​; xequalsnegative 1​, 0​, 3
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Part 1
Solve the equation for y.
yequals
  
8 minus 5 x
​(Simplify your answer. Use integers or fractions for any numbers in the​ expression.)
Part 2
When xequalsnegative 1​, the value of y is
  
enter your response here.
​(Type an integer or a​ fraction.)

1 answer

Let's solve the equation step by step.

Part 1

The equation given is:

\[ y + 5x = 8 \]

To solve for \( y \), we can isolate it on one side of the equation by subtracting \( 5x \) from both sides:

\[ y = 8 - 5x \]

This gives us the equation for \( y \).

Part 2

Now, we need to find the values of \( y \) for the given values of \( x \).

  1. When \( x = -1 \): \[ y = 8 - 5(-1) \] \[ y = 8 + 5 \] \[ y = 13 \]

So, when \( x = -1 \), the value of \( y \) is 13.

  1. When \( x = 0 \): \[ y = 8 - 5(0) \] \[ y = 8 \]

So, when \( x = 0 \), the value of \( y \) is 8.

  1. When \( x = 3 \): \[ y = 8 - 5(3) \] \[ y = 8 - 15 \] \[ y = -7 \]

So, when \( x = 3 \), the value of \( y \) is -7.

Summary of Results

  • When \( x = -1 \), \( y = 13 \)
  • When \( x = 0 \), \( y = 8 \)
  • When \( x = 3 \), \( y = -7 \)