Question 241·Easy·Math

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What value of $m$ satisfies the equation $6m + 27 = 63$ ?

A linear equation with one unknown asks for the value that makes both sides equal. Undo the operations around the variable in reverse order: subtract the added number, then divide by the number multiplying the variable. Desmos can check the original equation with a regression. The trap is stopping at the value of the whole variable term instead of finding the variable.

Hints

Hint 1
The inverse operation of adding $27$ is subtracting $27$ . Subtract it from both sides so the equation stays equal. What does that leave on the side with $m$ ?
Hint 2
A coefficient is the number multiplying a variable. In $6m$ , the coefficient is $6$ . Once you know the value of $6m$ , what operation gives you the value of $m$ ?

Step-by-step

Undo the addition, then solve for $m$
Step 1
Find the value of $6m$
Subtract $27$ from both sides to undo the addition. Type $63-27$ in Desmos; it shows $36$ , so:
$6m=36.$
This is the value of $6m$ , not yet the value of $m$ .
Step 2
Find $m$
$6m$ means six times $m$ , not $m$ itself. To find one $m$ , divide both sides by the coefficient $6$ :
$m=\frac{36}{6}.$
To have Desmos solve the original equation, type $6m+27\sim63$ . The $\sim$ tells Desmos to find the value that makes the sides equal. It reports $m=6$ under PARAMETERS. So $m=6$ satisfies the equation. Choice B.

Question 241·Easy·Math

Strategy

Hints

Step-by-step

Lessons that teach this

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Strategy

Hints

Step-by-step

Lessons that teach this