Solve 2x + 3y = 7; 2x + 4 = 5 | 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

$$2x+3y=7; 2x+4=5$$

Solve for x, y

$x=\frac{1}{2}=0.5$
$y=2$

Solution Steps

Consider the second equation. Subtract $4$ from both sides.

$$2x=5-4$$

Subtract $4$ from $5$ to get $1$.

$$2x=1$$

Divide both sides by $2$.

$$x=\frac{1}{2}$$

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

$$2\times \frac{1}{2}+3y=7$$

Multiply $2$ and $\frac{1}{2}$ to get $1$.

$$1+3y=7$$

Subtract $1$ from both sides.

$$3y=7-1$$

Subtract $1$ from $7$ to get $6$.

$$3y=6$$

Divide both sides by $3$.

$$y=\frac{6}{3}$$

Divide $6$ by $3$ to get $2$.

$$y=2$$

The system is now solved.

$$x=\frac{1}{2}$$ $$y=2$$