Solve 3(k - 3); k = (- varphi)/7 | 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

$$3(k-3); k=\frac{-\varphi}{7}$$

Solve for k, l

$l = -\frac{75}{7} = -10\frac{5}{7} \approx -10.714285714$

Solution Steps

Consider the first equation. Fraction $\frac{-4}{7}$ can be rewritten as $-\frac{4}{7}$ by extracting the negative sign.

$$k=-\frac{4}{7}$$

Consider the second equation. Insert the known values of variables into the equation.

$$l=3\left(-\frac{4}{7}-3\right)$$

Subtract $3$ from $-\frac{4}{7}$ to get $-\frac{25}{7}$.

$$l=3\left(-\frac{25}{7}\right)$$

Multiply $3$ and $-\frac{25}{7}$ to get $-\frac{75}{7}$.

$$l=-\frac{75}{7}$$

The system is now solved.

$$k=-\frac{4}{7}$$ $$l=-\frac{75}{7}$$