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2 votes
What is the solution to the linear equation?

+ p = + p

p = 1
p = 2
p = 8
p = 10

2 Answers

5 votes

Answer:

p=1

Explanation:

We are given that an equation


(2)/(5)+p=(4)/(5)+(3)/(5)p

We have to find the solution of given linear equation .

Subtraction property of equality


p-(3)/(5)p+(2)/(5)=\frac{4}[5}


(5p-3p)/(5)+(2)/(5)=(4)/(5)

Combine like terms


(2)/(5)p+(2)/(5)=(4)/(5)


(2)/(5)p=(4)/(5)-(2)/(5)

Subtraction property of equality


(2)/(5)p=(2)/(5)

When a fraction term in multiply goes form one side to other side then the term will be reciprocal.


p=(2)/(5)* (5)/(2)


p=1

Hence, p=1

User Nicholas Smith
by
8.1k points
7 votes


p=1

To better understand the problem see the attached figure

we have


(2)/(5)+p=(4)/(5)+(3)/(5)p

Multiply by
5 both sides


5((2)/(5)+p)=5((4)/(5)+(3)/(5)p)


2+5p=4+3p

Group terms that contain the same variable p and move the constant to the other side of the equation


5p-3p=4-2


2p=2


p=1

What is the solution to the linear equation? + p = + p p = 1 p = 2 p = 8 p = 10-example-1
User Maka
by
8.4k points

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