Question

Find the value of the variable(s) in each figure. Explain your reasoning​

Answer 1

X=15
Y=36.25


9x+12+3x=180
-12 -12
12x=180
divide by 12 both sides
X= 15

4y-10+3x=180
Substitute x for 15
4y-10+45=180
4y+35=180
-35 -35
4y=145
divide 4 both sides
Y=36.25

Answer 2

x=14

y=37

Explanation:

9x+12+3x=180

12x+12=180

-12 -12

12x=168

divide both sides by 12 and

x=14

then plug in 3(14)+4y-10=180

42+4y-10=180

32+4y=180

4y=148

y=37