Question 124·Easy·Linear Equations in One Variable
If , what is the value of ?
For linear equation questions that then ask for an expression like , first focus on solving the equation step by step: undo addition or subtraction, then undo multiplication or division to isolate the variable. Once you find the variable's value, plug it carefully into the requested expression (here, ) and simplify, making sure not to stop at the value of itself. This approach avoids extra work and common mistakes like answering with instead of the expression.
Hints
Isolate the term with y
Look at the equation . What operation can you do to both sides to remove the and leave just the term?
Get y alone
After you remove the 4 and have an equation like , what should you do to both sides to solve for ?
Use the value of y
Once you know , remember the question is asking for . How do you use the value of to find ?
Desmos Guide
Compute the expression directly
In Desmos, type (44 - 4)/8 + 2 and look at the numeric result; this value is what equals for the equation .
Step-by-step Explanation
Undo the addition
Start with the equation .
To isolate , first get rid of the by subtracting 4 from both sides:
So the equation becomes .
Solve for y
Now you have .
Divide both sides by 8 to solve for :
This is the value of , but the question is asking for , not just .
Find y + 2 and choose the answer
Now substitute into the expression :
So the value of is 7, which corresponds to answer choice C.