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

Question

asked May 8, 2022 172k views

2 Answers

Nathan Brown · Answer 1 · 2022-05-08T20:08:37+0000

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)