Question

-5x + y = -3
3x - 8y = 24
please find x and y

Answer 1

x = 0,

y = -3

Explanation:

Let us solve through elimination ~

1. Multiply top equation -5x + y = -3 by 8, adding that product to the bottom equation 3x - 8y = 24:

8 ( -5x + y = -3) ⇒ - 40x + 8y = -24

+ 3x - 8y = 24 + 3x - 8y = 24

2. To further express this algebraic process of adding to find x in this case:

- 40x + 8y = -24 ⇒ - 37x = 0 ⇒ x = 0

+ 3x - 8y = 24

3. Now let us substitute this value of x into the top equation -5x + y = -3:

- 5 ( 0 ) + y = - 3

4. ...And solve for y:

- 5 ( 0 ) + y = - 3 ⇒ 0 + y = -3 ⇒ y = -3

Answer 2

`x=0\\y=-3`

Explanation:

`-5x+y=-3\\3x-8y=24`

Let's solve the first equation for y to later on replace it in the second.

`y=-3+5x`

Now plug this in the second equation.

`3x-8y=24\\3x-8(-3+5x)=24\\`

Distribute -8

`3x+24-40x=24\\`

Subtract 24

`3x-40x=24-24`

Combine like terms;

`-37x=0`

Divide by -37

`x=(0)/(-37)\\ x=0`

Now replace x in any of the equations to find y.

`-5x+y=-3\\-5(0)+y=-3\\y=-3`