Solve b=2:3 b:c=5/2 - ScanMath

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Type your math problem... b=2:3 b:c=5/2

Question

{b = 2 \div 3 b \div c 2 \div 3 b \div c = \frac{5}{2}

Solve the system of equations

(b, c) = (\frac{5}{2}, \frac{8}{75})

Alternative Form

(b, c) = (2.5, 0.10 \dot{6})

Evaluate

{b = 2 \div 3 b \div c 2 \div 3 b \div c = \frac{5}{2}

Calculate

More Steps

{b = \frac{2}{3 b c} 2 \div 3 b \div c = \frac{5}{2}

Calculate

More Steps

{b = \frac{2}{3 b c} \frac{2}{3 b c} = \frac{5}{2}

Solve the equation for b

More Steps

{b = \frac{2}{3 b c} b = \frac{4}{15 c}

Substitute the given value of b into the equation b = \frac{2}{3 b c}

\frac{4}{15 c} = \frac{2}{3 \times \frac{4}{15 c} \times c}

Simplify

More Steps

\frac{4}{15 c} = \frac{5}{2}

Rewrite the expression

15 c = \frac{4 \times 2}{5}

Divide the terms

15 c = \frac{8}{5}

Multiply by the reciprocal

15 c \times \frac{1}{15} = \frac{8}{5} \times \frac{1}{15}

Multiply

c = \frac{8}{5} \times \frac{1}{15}

Multiply

More Steps

c = \frac{8}{75}

Substitute the given value of c into the equation b = \frac{4}{15 c}

b = \frac{4}{15 \times \frac{8}{75}}

Calculate

b = \frac{5}{2}

Calculate

{b = \frac{5}{2} c = \frac{8}{75}

Check the solution

More Steps

{b = \frac{5}{2} c = \frac{8}{75}

Solution

(b, c) = (\frac{5}{2}, \frac{8}{75})

Alternative Form

(b, c) = (2.5, 0.10 \dot{6})

Show Solution