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snow_tiger [21]
2 years ago
5

What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?

Mathematics
2 answers:
Svetllana [295]2 years ago
7 0

Answer:

The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15

Step-by-step explanation:

<u>Given</u>

equation: x - 2/3y = 30

when y = 15

<em>Plug in y:</em>

1/5x - 2/3(15) = 30

1/5x - 10 = 30

<em>add</em> 10 to both sides,

1/5x - 10 + 10 = 30 + 10

1/5x = 40

<em>multiply</em> both sides by 5

1/5x * 5= 40 * 5

x = 200

Usimov [2.4K]2 years ago
3 0

Answer:

x = 200

Step-by-step explanation:

\frac{1x}{5} -\frac{2y}{3} =30

Given that, y = 15.

So, to find the value of x you have to replace y with 15 and make the x the subject.

<u>Let us do that now.</u>

\frac{1x}{5} -\frac{2*15}{3} =30\\

\frac{1x}{5} -\frac{30}{3} =30\\

\frac{1x}{5} =30+ \frac{30}{3}\\

\frac{1x}{5} =\frac{30}{1} + \frac{30}{3}\\

\frac{1x}{5} =\frac{30*3}{1*3} + \frac{30}{3}\\

\frac{1x}{5} =\frac{90}{3} + \frac{30}{3}\\

\frac{1x}{5} =\frac{120}{3}

<em>Use cross multiplication</em>.

1x*3=120*5\\3x=600

<em>Divide both sides by 3.</em>

x = 200

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