Question

Use cross products to solve for x. Type your answer as a simplified fraction (Ex. 37/4).

5/x+3 = 4/x

X =

Answer 1

x=1/3

Step-by-step explanation:

= 5/x - 4/×=3

= 1/x=3/1

= 1=3×

= x=1/3

Answer 2

To find x using cross products in the equation 5/(x+3) = 4/x, cross multiply to get 5x = 4(x + 3), then simplify and solve for x, resulting in x = 12.

Step-by-step explanation:

To solve for x using cross products, we begin by eliminating fractions through cross-multiplication in the proportion 5/(x+3) = 4/x. This yields 5x = 4(x + 3). Distributing 4 into the parenthesis gives us 5x = 4x + 12. To isolate x, we subtract 4x from both sides, resulting in x = 12.

Thus, x = 12 serves as the simplified fraction answer, showcasing the application of cross-multiplication as an effective method to solve equations involving proportions and fractions.This process demonstrates the utility of cross-multiplication in resolving equations with proportions, emphasizing its effectiveness in handling fractional expressions and leading to a straightforward and clear solution.