Question #4c8a8

1 Answer
Mar 18, 2017

x=2" and "y=8

Explanation:

We have the following equations.

xcolor(red)(+y)=10to(1)

color(red)(y)=4xto(2)

Solve using the color(blue)"substitution method"

That is substitute color(red)(y)=4x" into " (1)

rArrx+4x=10

rArr5x=10

divide both sides of the equation by 5

(cancel(5) x)/cancel(5)=10/5

rArrx=2

Substitute this value into ( 2 ) to obtain value for y

rArry=4xx2=8

color(blue)"As a check"

Substitute these values into the original statements and if they are true then these are the solutions.

x+y=2+8=10to" True"

y=4xx2=8to" True"

rArrx=2" and "y=8" are the solution"