Math, asked by Alfred111, 9 months ago

solve : 5/7 -2a = 3/2a + 1 ​

Answers

Answered by Anonymous
1

Equation: 5/7 -2a = 3/2a + 1 ​

How to solve? Step-by-step explanation:

Step 1)

Rearrange terms

5/7-2a=3/2.a+1

-2a+5/7=3/2.a+1

Step 2)

Combine multiplied terms into a single fraction

-2a+5/7=3/2a+1

-2a+5/7=3a/2+1

Step 3)

Subtract 5/7 from both sides of the equation

-2a+5/7=3a/2+1

-2a+5/7-5/7=3a/2+1-5/7

Step 4)

Simplify

Subtract the numbers:

-2a+5/7-5/7=3a/2+1-5/7

-2a=3a/2+1-5/7

Subtract the numbers:

-2a=3a/2+2/7

Step 5)

Multiply all terms by the same value to eliminate fraction denominators

-2a=3a/2+2/7

2(-2)a=2(3a/2+2/7)

Step 6)

Simplify

Multiply the numbers

-2(-2)a=2(3a/2+2/7)

-4a=2(3a/2+2/7)

Distribute

-4a=2(3a/2+2/7)

-4a=2.3a/2+4/7

Cancel multiplied terms that are in the denominator

-4a=3a+4/7

Step 7)

Subtract 3a from both sides of the equation

-4a=3a+4/7

-4a-3a=3a+4/7-3a

Step 8)

Combine like terms

-4a-3a=3a+4/7-3a

-7a=3a+4/7-3a

Combine like terms

-7a=4/7

Step 9)

Divide both sides of the equation by the same term

-7a=4/7

-7a/-7=(4/7)/(-7)

Step 10)

Cancel terms that are in both the numerator and denominator

-7a/-7=(4/7)/(-7)

a=(4/7)/(-7)

Divide the numbers

a=-4/49

Solution: a=-4/49

Hope it helps :-)

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Answered by mintudhurisodhi
0

-4/49 I hope it works

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