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

Answer:

x=1, y= 4

Step-by-step 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