Question 64·Easy·Linear Equations in One Variable
If , what value of satisfies the equation?
(Express the answer as an integer)
For one-step or two-step linear equations like , focus on isolating the variable using inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division. Always perform the same operation on both sides of the equation, write each step clearly (e.g., subtract, then divide), and do the simple arithmetic carefully to avoid skipping the final step or miscomputing basic sums or differences.
Hints
Undo the addition first
Look at the equation . What operation is being done to ? What inverse operation will help you remove the 9?
Perform the same operation on both sides
Try subtracting 9 from both sides of the equation. What simpler equation in terms of do you get?
Isolate completely
Once you have an equation of the form , what should you do to both sides to solve for ?
Desmos Guide
Enter the equations to graph
In Desmos, type y = 4x + 9 on one line and y = 25 on another line to graph both the linear expression and the constant value.
Find the intersection point
Look for the point where the two lines intersect. Tap or click that intersection point; Desmos will display its coordinates .
Read the solution from the graph
The -coordinate of the intersection point is the value of that makes true. Use that -value as your answer.
Step-by-step Explanation
Isolate the term with
The equation is
To begin isolating , remove the by subtracting 9 from both sides:
This simplifies to:
Solve for
Now you have:
To get by itself, divide both sides by 4:
So equals , which is the value that satisfies the original equation.