Question

- B) 42 – (75:X) = 37 I) 100 - A * 9 = 28 120 :(X: 6 ) = 10​

Answer 1

$42-(75:x)=37\\\\42-(\frac{75}{x})=37\\\\-\frac{75}{x}=37-42\\ -\frac{75}{x}=-5 \\\\75=5x\\\\5x=75\\\\x=15$

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$100-a*9=28\\\\100-9a=28\\\\-9a=28-100\\\\-9a=-72\\\\a=8$

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$120:(x:6)=10\\\\120:(\frac{1}{6} x)=10\\\\120:\frac{x}{6}=10\\\\120*\frac{6}{x}=10 \\\\\frac{720}{x}=10\\\\720=10x\\\\10x=720\\\\x=72$

Answer 2

To solve these equations, let's first find the values of the variables A and X that satisfy the equations:

B) 42 - (75/X) = 37 I) 100 - A * 9 = 28 II) 120 / (X / 6) = 10

Let's solve them one by one:

B) 42 - (75/X) = 37

First, subtract 37 from both sides:

42 - 37 = 75/X

5 = 75/X

Now, to isolate X, divide both sides by 5:

75/X = 5

X = 75/5

X = 15

So, X = 15.

I) 100 - A * 9 = 28

First, subtract 28 from both sides:

100 - 28 = A * 9

72 = A * 9

Now, to isolate A, divide both sides by 9:

A = 72/9

A = 8

So, A = 8.

II) 120 / (X / 6) = 10

To solve this equation, first simplify the right side:

10 = 120 / (X / 6)

Now, multiply both sides by (X / 6) to isolate X:

10 * (X / 6) = 120

Now, multiply both sides by 6 to further isolate X:

(X / 6) * 6 = 120 * 6

X = 720

So, X = 720.

To summarize the solutions:

• A = 8
• X = 15
• X = 720