Question #95d43

4 Answers
Nov 27, 2017

See a solution process below:

Explanation:

Multiply each side of the equation by color(red)(5) to solve for x while keeping the equation balanced:

color(red)(5) xx x/5 = color(red)(5) xx 8/9

cancel(color(red)(5)) xx x/color(red)(cancel(color(black)(5))) = 40/9

x = 40/9

Or, if your answer requires a mixed number:

x = (36 + 4)/9 = 36/9 + 4/9 = 4 + 4/9

x = 4 4/9

Nov 27, 2017

x=40/9~=4.44

Explanation:

We multiply in both sides by 5:
x/5*5=8/9*5

x=40/9~=4.44

Nov 27, 2017

x = 40/9 = 4 4/9

Explanation:

Solving for x by multiplying both sides by 5 provides a quick answer

5 xx x/5 = 5 xx 8/9 The five divides out leaving

x = 40/9

40/9 is an improper fraction that can be changed to a mixed number by dividing 40 by 9 and taking the remainder as the numerator of the remaining fraction.

40/9 = 4 4/9

Nov 27, 2017

x/5=8/9

This is a proportion and to solve proportions, you cross multiply

color(red)x/color(blue)5=color(blue)8/color(red)9

color(red)( 9 xx x)=9x

color(blue)(8 xx 5)=40

color(red)(9x)=color(blue)40

You are trying to find the value of x so you need x by itself

Solve for x by performing the opposite operation

9 and x are being multiplied, so the opposite operation is division

(9x)/9=40/9

x=4.44