Question

this equation and graph represent the situation: jane earns $8 per hour bagging at the grocery store and $12 per hour teaching an art class. she wants to make exactly $92. is (10, 1) a solution to the equation? $8x + 12y = 92$ (graph: y - axis: hours teaching art class, x - axis: hours bagging at grocery store; options: no, (10,1) is not a solution. yes, (10,1) is a solution.)

Explanation:

Step1: Substitute x=10, y=11 into equation

Substitute $x=10$ and $y=1$ into $8x+12y$:
$8(10) + 12(1)$

Step2: Calculate left-hand side value

$80 + 12 = 92$

Step3: Compare to right-hand side

The right-hand side of the equation is $92$, so $92=92$.

Answer:

Yes, (10, 1) is a solution.