Question 58·Easy·Linear Equations in One Variable
If , what is the value of ?
For linear-equation questions that ask for an expression like rather than just , first solve the given equation step by step: undo addition/subtraction, then undo multiplication/division to find the variable. Next, plug that value into the requested expression and simplify carefully, double-checking the operation (minus vs. plus) and that you answered the expression the question asked for, not just the variable itself.
Hints
Undo the subtraction first
Look at . What operation will cancel the on the left side so that only is left?
Deal with the decimal coefficient
Once you have an equation of the form , what should you divide both sides by to solve for ?
Answer the exact question asked
After you find , remember the question asks for . Substitute your value of into and simplify.
Desmos Guide
Graph the equation
In Desmos, enter y = 0.5x - 1.5 to represent the left side of the equation as a line.
Graph the right side (zero)
On a new line, enter y = 0 to graph the x-axis, which represents the right side of the equation.
Find the value of
Click the point where the line y = 0.5x - 1.5 intersects y = 0. The x-coordinate of this intersection is the value of that makes .
Compute in Desmos
Take the x-coordinate you found and, in a new expression line, type that number minus 3 (for example, if the x-coordinate is , type k - 3 using the actual number). The result Desmos displays is the value of .
Step-by-step Explanation
Isolate the term with
Start with the equation:
Add to both sides to move the constant term:
Solve for
Now you have:
Divide both sides by :
To divide by a decimal more easily, multiply numerator and denominator by :
So .
Find the value of
The question asks for , not just .
Substitute into :
So the value of is .