Question

solve the following equation and verify your answer. 2/5x+3/1/3x-1=3/5
​

Answer 1

Step-by-step explanation:

STEP

1

:

3

Simplify —

5

Equation at the end of step

1

:

2 3 3

(((—•x)+(— ÷ 3•x))-1)-— = 0

5 1 5

STEP

2

:

3

Simplify —

1

Equation at the end of step

2

:

2 3 3

(((—•x)+(—•x))-1)-— = 0

5 3 5

STEP

3

:

1

Simplify —

1

Equation at the end of step

3

:

2 3

(((—•x)+(1•x))-1)-— = 0

5 5

STEP

4

:

2

Simplify —

5

Equation at the end of step

4

:

2 3

(((— • x) + x) - 1) - — = 0

5 5

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 5 as the denominator :

x x • 5

x = — = —————

1 5

Answer 2

$\huge\red{ANSWER}$

☞︎︎︎simplify both sides of the equation.

$\frac{2}{5} x + \frac{3}{ \frac{1}{3} } x - 1 = \frac{3}{5}$

$\frac{2}{5} x + x + - 1 = \frac{3}{5}$

☞︎︎︎now, combine like terms.

$( \frac{2}{5} x + x) + ( - 1) = \frac{3}{5}$

$\frac{7}{5} x + - 1 = \frac{3}{5}$

$\frac{7}{5} x - 1 = \frac{3}{5}$

☞︎︎︎add one to both sides.

$\frac{7}{5} x - 1 + 1 = \frac{3}{5} + 1$

$\frac{7}{5} x = \frac{8}{5}$

☞︎︎︎multiply both sides by 5/7.

$( \frac{5}{7} ) \times ( \frac{7}{5} x) = ( \frac{5}{7} ) \times ( \frac{8}{5} )$

$x = \frac{8}{7}$