x + y = 44
y = 10x
To solve this system by substitution, substitute 10x for y into the top equation.
x + y = 44
x + 10x = 44
11x = 44
x = 4
To find y, substitute 4 for x into either of the original equations; I'll use the bottom equation.
y = 10x
y = 10(4)
y = 40
Lastly, substitute the x- and y-values into both original equations to check work.
x + y = 44
4 + 40 = 44
44 = 44
y = 10x
40 = 10(4)
40 = 40
Answer:
x = 4; y = 40
(4, 40)
