Answer:
(a) 12x + 6y = 120
(b) [tex]x = 10- \frac{y}{2}[/tex]
(c) [tex]y = 20- 2x[/tex]
Step-by-step explanation:
Andrew needs exactly 120 pencils.
The supply closet have boxes of pencils with 12 in each and boxes of markers with 6 in each .
Let x be the number of pencil boxes
and y be the number of marker boxes
12(pencil boxes) + 6(marker boxes) = 120
So equation becomes
12x + 6y = 120
(b)Now solve the equation for x
12x + 6y = 120
Subtract 6y on both sides
12x = 120 - 6y
Divide both sides by 12
[tex]x = \frac{120}{12} - \frac{6y}{12}[/tex]
[tex]x = 10- \frac{y}{2}[/tex]
(c)Now solve the equation for x
12x + 6y = 120
Subtract 12x on both sides
6y = 120 - 12x
Divide both sides by 6
[tex]y = \frac{120}{6} - \frac{12x}{6}[/tex]
[tex]y = 20- 2x[/tex]
