Question

5p+9c=p solve for c

Answer 1

Solving two-variable linear equations

5p + 9c = p is:

$c=-\frac{4}{9}p$

Further explanation

Sentences that have the same relationship are called equations

Linear equations are open sentences that have the same relationship with a variable and one rank

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

ax = b or ax + b = c, where

a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

 ax + by = c

x, y = variable

The solution of linear equations can be done by:

• 1. substitution, elimination
• 2. increase or decrease both segments with the same number
• 3. multiplying or dividing two segments with equal numbers
• 4. graph

In the task, it's known linear equations :

5p + 9c = p

We will solve it using methods 2 and 3

• 1. methods 2

we reduce the two segments by 5p, so expect the left side to have 1 variable

5p + 9c -5p = p -5p

9c = -4p

• 2. methods 3

dividing the two segments by the number 9, so it is expected that the left side has the value c

$\frac{9c}{9} = -\frac{4p}{9}$

$c=-\frac{4p}{9}$

Learn more

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

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Keywords: constant, variable, linear equation

Answer 2

Gicen:
5p+9c=p
Manipulating the terms:

step 1) Subtract 5p from both sides

5p-5p+9c=p-5p
we get:
9c = -4c
divide 9 on both sides
c = (-4/9)c