Solve 1/4; n/2 - (3n)/4 + (5n)/6 = 21 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{1}{4}; \frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$$

Solve for n, o

$o=\frac{1}{4}=0.25$

Solution Steps

Consider the first equation. Multiply both sides of the equation by $12$, the least common multiple of $2,4,6$.

$$6n-3\times 3n+2\times 5n=252$$

Multiply $-3$ and $3$ to get $-9$.

$$6n-9n+2\times 5n=252$$

Combine $6n$ and $-9n$ to get $-3n$.

$$-3n+2\times 5n=252$$

Multiply $2$ and $5$ to get $10$.

$$-3n+10n=252$$

Combine $-3n$ and $10n$ to get $7n$.

$$7n=252$$

Divide both sides by $7$.

$$n=\frac{252}{7}$$

Divide $252$ by $7$ to get $36$.

$$n=36$$

The system is now solved.

$$n=36$$ $$o=\frac{1}{4}$$