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

Sagot :

genan

Answer:

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

Step-by-step explanation:

Given

equation: x - 2/3y = 30

when y = 15

Plug in y:

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

1/5x - 10 = 30

add 10 to both sides,

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

1/5x = 40

multiply both sides by 5

1/5x * 5= 40 * 5

x = 200

Hi1315

Answer:

x = 200

Step-by-step explanation:

[tex]\frac{1x}{5} -\frac{2y}{3} =30[/tex]

Given that, y = 15.

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

Let us do that now.

[tex]\frac{1x}{5} -\frac{2*15}{3} =30\\[/tex]

[tex]\frac{1x}{5} -\frac{30}{3} =30\\[/tex]

[tex]\frac{1x}{5} =30+ \frac{30}{3}\\[/tex]

[tex]\frac{1x}{5} =\frac{30}{1} + \frac{30}{3}\\[/tex]

[tex]\frac{1x}{5} =\frac{30*3}{1*3} + \frac{30}{3}\\[/tex]

[tex]\frac{1x}{5} =\frac{90}{3} + \frac{30}{3}\\[/tex]

[tex]\frac{1x}{5} =\frac{120}{3}[/tex]

Use cross multiplication.

[tex]1x*3=120*5\\3x=600[/tex]

Divide both sides by 3.

x = 200

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