Solve (x + 2, 4) = (5, 2x + y) | 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

$$(x+2,4)=(5,2x+y)$$

Solve for x

$x=-\frac{5y}{21}+\frac{4}{7}$

Steps for Solving Linear Equation

Subtract $5,2x$ from both sides.

$$x+2,4-5,2x=y$$

Combine $x$ and $-5,2x$ to get $-4,2x$.

$$-4,2x+2,4=y$$

Subtract $2,4$ from both sides.

$$-4,2x=y-2,4$$

Divide both sides of the equation by $-4,2$, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-4,2x}{-4,2}=\frac{y-2,4}{-4,2}$$

Dividing by $-4,2$ undoes the multiplication by $-4,2$.

$$x=\frac{y-2,4}{-4,2}$$

Divide $y-2,4$ by $-4,2$ by multiplying $y-2,4$ by the reciprocal of $-4,2$.

$$x=-\frac{5y}{21}+\frac{4}{7}$$

Solve for y

$y=\frac{12-21x}{5}$

Solution Steps

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

$$5,2x+y=x+2,4$$

Subtract $5,2x$ from both sides.

$$y=x+2,4-5,2x$$

Combine $x$ and $-5,2x$ to get $-4,2x$.

$$y=-4,2x+2,4$$