Solve 2x + 5, 5 = 3x - 2.7 | 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

$$2x+5,5=3x-2.7$$

Solve for x, y

$y = \frac{152}{15} = 10\frac{2}{15} \approx 10.133333333$

Solution Steps

Consider the first equation. Swap sides so that all variable terms are on the left hand side.

$$3x-2.7=5$$

Add $2.7$ to both sides.

$$3x=5+2.7$$

Add $5$ and $2.7$ to get $7.7$.

$$3x=7.7$$

Divide both sides by $3$.

$$x=\frac{7.7}{3}$$

Expand $\frac{7.7}{3}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{77}{30}$$

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

$$y=2\times \frac{77}{30}+5$$

Multiply $2$ and $\frac{77}{30}$ to get $\frac{77}{15}$.

$$y=\frac{77}{15}+5$$

Add $\frac{77}{15}$ and $5$ to get $\frac{152}{15}$.

$$y=\frac{152}{15}$$

The system is now solved.

$$x=\frac{77}{30}$$ $$y=\frac{152}{15}$$