Question

Solve the following system of equations. In other words, which values for x and y make both equations true?

3x + 5y = 23
y = 4x
x =
y =

Answer 1

3x+5 x 4x =23
x=1
y=4 x 1
y=4

Answer 2

x=1, y= 4

Explanation:

`3x + 5y = 23`

`y = 4x`

Substitute 4x for y in the first equation

`3x + 5(4x) = 23`

Now we solve for x

`3x+ 20x=23`

Combine like terms

`23x= 23`

Divide both sides by 23

x=1

Now we find out y , plug in 1 for x in y=4x

`y=4(1)= 4`

x=1, y= 4