Question

100-24÷c=923×x+50=773×x=92-68

Answer 1

100-24÷c=92
-24:с = 92-100
-24:с = -8
с=24:8
с=3

3×x+50=77
3х=77-50
3х=27
х=27:3
х=9

3×x=92-68
3х=24
х=24:3
х=8

Answer 2

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Answer 3

Let's solve the equations step by step.

1. 100 - 24/c = 923x + 50

To isolate 'x', first, let's get rid of the constant term (50) by subtracting 50 from both sides of the equation:

100 - 24/c - 50 = 923x

Simplify:

50 - 24/c = 923x

Now, to isolate 'x', we need to get rid of the coefficient of 'x' (923) by dividing both sides by 923:

(50 - 24/c) / 923 = x

2. 773x = 92 - 68

Now, let's simplify the right side of the equation:

773x = 24

To isolate 'x', divide both sides by 773:

x = 24 / 773

Now we have the value of 'x' in terms of fractions.

3. Substitute 'x' back into the first equation to find the value of 'c':

(50 - 24/c) / 923 = 24 / 773

Cross-multiply:

(50 - 24/c) × 773 = 24 × 923

Distribute 773:

50 × 773 - (24 × 773)/c = 24 × 923

38750 - 18552/c = 22152

Now, isolate 'c' by moving the constant term to the other side:

-18552/c = 22152 - 38750

Combine the constants:

-18552/c = -16598

To isolate 'c', divide both sides by -16598:

c = -18552 / -16598

Now, you can simplify this fraction to get the value of 'c.'