Question

If 5x – 3y = 7 and –3x – 5y = 23, what is the value of x?

Answer 1

5x - 3y = 7

First, Add 3y to both sides

5x - 3y + 3y = 7 + 3y

5x = 3y + 7

Then, Divide both sides by 5

`(5x)/(5)` =
`(3y + 7)/(5)`

`x = (3)/(5) y` +
`(7)/(5)` (Answer to #1)

-3x - 3x - 5 = 23

First, we will simplify both sides of the equation

-3x + -3x + -5 = 23

Next, We will combine like terms

(-3x + -3x) + (-5) = 23

-6x + -5 = 23

-6x - 5 =23

Then, we will Add 5 to both sides

`(-6x)/(-6)` =
`(28)/(-6)`

x =
`(-14)/(3)` (Answer to #2)

Answer 2

X= -1

Y= -4

That's the answer I believe