Question 100·Easy·Linear Equations in One Variable
If , what is the value of ?
For linear equations of the form , quickly isolate by undoing operations in reverse order: first add or subtract to move the constant term, then divide by the coefficient of . Once you have , plug it into whatever expression the question asks for (here, ). Doing the steps in this order helps avoid stopping too early with when the problem actually wants a related expression like or .
Hints
Use the given equation
You know that . Think about how to undo the so you can get by itself.
Solve for y first
Once you have by itself, what operation will isolate from ?
Then find 3y
After you know the value of , multiply it by 3 to get .
Desmos Guide
Solve the related equation in Desmos
In Desmos, in the first line, type y = 5x - 10. Then find the x-intercept of this line (the point where the graph crosses the x-axis). The x-coordinate of that point is the solution to , which matches the value of in the original equation.
Compute 3y using the solution
In a new line, type 3 * (value) where value is the x-coordinate you found from the intercept (the solution of the equation). The output of this expression is the value of .
Step-by-step Explanation
Isolate the term with y
Start with the equation:
Add 10 to both sides to get rid of the :
Solve for y
Now divide both sides of by 5 to solve for :
So the value of is 2.
Find the value of 3y
You are asked for , not just . Substitute into :
So the value of is 6.