Solve 2x + y = 6; 2x - 1 = 2 | 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

$$2x+y=6; 2x-1=2$$

Solve for x, y

$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$
$y=3$

Solution Steps

Consider the second equation. Add $1$ to both sides.

$$2x=2+1$$

Add $2$ and $1$ to get $3$.

$$2x=3$$

Divide both sides by $2$.

$$x=\frac{3}{2}$$

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

$$2\times \frac{3}{2}+y=6$$

Multiply $2$ and $\frac{3}{2}$ to get $3$.

$$3+y=6$$

Subtract $3$ from both sides.

$$y=6-3$$

Subtract $3$ from $6$ to get $3$.

$$y=3$$

The system is now solved.

$$x=\frac{3}{2}$$ $$y=3$$