2a+1=35

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

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 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