If , what is the value of ?
An equation says its two sides have the same value. If the expression you need is a scaled copy of one side, compare both its variable term and its plain number before solving for the variable. Scale the whole side, including its constant term. Scaling only the variable term changes the expression.
Hints
- Hint 1
A coefficient is the number multiplying . Compare with , then compare the plain numbers and . Do both parts of the requested expression use the same multiplier?
- Hint 2
The equal sign says both sides have the same value, so multiplying both entire sides by the same number keeps them equal. Once you've found the multiplier, use the given value of . Do you need to find ?
Step-by-step
Scale the whole expression
Step 1Recognize the doubled expression
No Desmos needed. The requested expression is a multiple of the whole left side. Here and , so both terms double:
Don't double only ; the must become too.
- Step 2
Use the value of the whole side
The given equation says , so replace the whole parenthesis with :
Multiply:
The requested expression is . Grid in 60.