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

Question

(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.