9 over 2 = 6 over x + 4

cross multiply

1 answer

To cross multiply, we will multiply the numerator of the left side of the equation with the denominator of the right side, and vice versa. We start by multiplying 9 with x + 4:

9(x + 4) = 6 * 2

Simplifying both sides of the equation:

9x + 36 = 12

Next, we'll subtract 36 from both sides to isolate the x variable:

9x = 12 - 36

9x = -24

Finally, we divide both sides by 9 to solve for x:

x = -24/9

Simplifying the fraction gives:

x = -8/3 or x ≈ -2.67