The image shows a partial calculation where x=1 is substituted into an expression related to the equation x−2y=2.
Step 1: Identify the equation and substitution.
The expression shown is x−2y−2. If this expression is set to zero, it represents the equation x−2y=2.
The student has substituted x=1 into this expression, resulting in 1−2y−2.
Step 2: Solve for y.
We set the expression equal to zero to find the corresponding y value for the line x−2y=2:
1−2y−2=0
Combine the constant terms:
−1−2y=0
Add 1 to both sides:
−2y=1
Divide by −2:
y=−21
y=−0.5
The value y=0.5 shown at the top of the image is incorrect for this calculation. The correct value is y=−0.5.
The final answer is −0.5.