0.10x+0.25y=26.95 and x+y=117

Question

how do i solve this quadratic equation

Answer 1

0.1x + 0.25y = 26.95 --- (1)
x + y = 117 --- (2)

From (2), we have:

y = 117 - x --- (3)

Substituting (3) into (1), we will get:

0.1x + 0.25(117 - x) = 26.95
0.1x + 29.25 - 0.25x = 26.95
0.1x - 0.25x = 26.95 - 29.25
-0.15x = -3
x = -3 / -0.15
x = 20

Substituting x = 30 into (3), we will get:

y = 117 - 20
y = 97

Hence, we have x = 20 and y = 97