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vagabundo [1.1K]
2 years ago
6

Solve for c

Mathematics
2 answers:
Helga [31]2 years ago
7 0

Answer:

The simplified form in terms of c is c=b-\frac{d}{a}

Step-by-step explanation:

Consider the provided equation.  

a(b-c)=d

Divide both sides by a.

\frac{a(b-c)}{a}=\frac{d}{a}

b-c=\frac{d}{a}

Subtract b from both sides.

b-b-c=\frac{d}{a}-b

-c=\frac{d}{a}-b

This can be written as:

c=-\frac{d}{a}+b or c=b-\frac{d}{a}

Hence the simplified form in terms of c is c=b-\frac{d}{a}

labwork [276]2 years ago
5 0
Isolate the variable by dividing each side by factors that don't contain the variable I believe the correct answer is 1. c=ab-da
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Equation: SOLVE


Solution for 10=4(x-1)-(x-8) equation:

Simplifying
10 = 4(x + -1) + -1(x + -8)

Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)

Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)

Reorder the terms:
10 = -4 + 8 + 4x + -1x

Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x

Combine like terms: 4x + -1x = 3x
10 = 4 + 3x

Solving
10 = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4

Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10

Combine like terms: 4 + -10 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2
6 0
3 years ago
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