Question

Question #4c8a8

Answer 1

`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"`