# Solve for a 2/a+1=3/5

2a+1=35
Move all terms not containing a to the right side of the equation.
Subtract 1 from both sides of the equation.
2a=35-1
To write -1 as a fraction with a common denominator, multiply by 55.
2a=35-1⋅55
Combine -1 and 55.
2a=35+-1⋅55
Combine the numerators over the common denominator.
2a=3-1⋅55
Simplify the numerator.
Multiply -1 by 5.
2a=3-55
Subtract 5 from 3.
2a=-25
2a=-25
Move the negative in front of the fraction.
2a=-25
2a=-25
Set up the rational expression with the same denominator over the entire equation.
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 5a. The 2a expression needs to be multiplied by 55 to make the denominator 5a. The -25 expression needs to be multiplied by aa to make the denominator 5a.
2a⋅55=-25⋅aa
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 5a.
2(5)
Multiply 2 by 5.
105a=-25⋅aa
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 5a.
2(a)
Multiply 2 by a.
105a=-2a5a
105a=-2a5a
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
10=-(2a)
Rewrite the equation as -(2a)=10.
-(2a)=10
Multiply 2 by -1.
-2a=10
Divide each term by -2 and simplify.
Divide each term in -2a=10 by -2.
-2a-2=10-2
Cancel the common factor of -2.
Cancel the common factor.
-2a-2=10-2
Divide a by 1.
a=10-2
a=10-2
Divide 10 by -2.
a=-5
a=-5
Solve for a 2/a+1=3/5

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