Question

Solve the system by substitution. Check your solution.

0.5x+0.25y=36

y+18=16x


a.
(36, 72)
c.
(49, 81)
b.
(9, 126)
d.
(21, 9)

Answer 1

B. (9,126)

y + 18 = 16x
=>y=16x-18
0.5x + 0.25y = 36 (multiply both sides by 4)
=>2x+y = 144
Substitute y=16x-8

=>2x+16x-8=144
=>18x=152
=>x=152/18=9
y=16x-18
=>y=16(9)-18
=>y=144-18=126
Answer: x=9 and y=126