Question 127·Easy·Linear Equations in One Variable
What value of is the solution to the given equation?
(Express the answer as an integer)
For one-variable linear equations like this, isolate the variable step by step using inverse operations: first undo addition or subtraction to get the term with the variable alone, then undo multiplication or division to solve for the variable. Keep the equation balanced by performing the same operation on both sides, and quickly check your solution by substituting it back into the original equation to confirm both sides are equal.
Hints
Undo the addition first
In the equation , think about how you can remove the from the left side. What operation will undo adding 9?
Focus on the fraction with y
After you deal with the , you should have an equation where equals some number. What is that number?
Undo the division by 5
Once you have (a number), what operation will undo dividing by 5 so that you can get by itself?
Desmos Guide
Use Desmos to compute the final value
After you rearrange the equation to on paper, type (21 - 9) * 5 into Desmos. The output shown is the value of that solves the original equation.
Step-by-step Explanation
Isolate the term with y
Start with the equation:
To isolate the fraction with , subtract 9 from both sides:
which simplifies to
Solve for y
Now you have
To undo the division by 5, multiply both sides of the equation by 5:
On the left side, the 5s cancel, leaving by itself:
Compute and check the solution
Calculate :
so .
Quick check: substitute into the original equation:
which matches the right side, so is the correct solution.