Question

Part 1: If x = 125, which equation may be used to determine the value of y.

(1 point)
Responses

x−y=180
x minus y is equal to 180

y+125=90
y plus 125 is equal to 90

x+125= 180
x+125= 180

y+125=180
y plus 125 is equal to 180
Question 2
Part 2: Determine the value of y.(1 point)
y=

Answer 1

To determine which equation can be used to find the value of \( y \) when \( x = 125 \), we can substitute \( x \) into each equation.

1. **Equation:** \( x - y = 180 \)

Substituting \( x = 125 \):
\[
125 - y = 180 \implies y = 125 - 180 = -55
\]

2. **Equation:** \( y + 125 = 90 \)

This can be rearranged:
\[
y = 90 - 125 = -35
\]

3. **Equation:** \( x + 125 = 180 \)

Substituting \( x = 125 \):
\[
125 + 125 = 180 \implies 250 \neq 180 \text{ (not valid)}
\]

4. **Equation:** \( y + 125 = 180 \)

Rearranging gives:
\[
y = 180 - 125 = 55
\]

From the above checks, the equations that contain valid operations with the given \( x \) are:

- \( x - y = 180 \)
- \( y + 125 = 180 \)

However, the best choice to directly find \( y \) is \( y + 125 = 180 \).

### Part 2: Determine the value of \( y \).

Using the equation \( y + 125 = 180 \):
\[
y = 180 - 125 = 55
\]

Thus, the value of \( y \) is **55**.