Solve If Z = 2x + 4y then x = | 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

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

Solve for x, y

$x=a$
$y=\frac{Z-2a}{4}$

Steps Using Substitution

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

$$x=a$$

Substitute $a$ for $x$ in the other equation, $2x+4y=Z$.

$$2a+4y=Z$$

Subtract $2a$ from both sides of the equation.

$$4y=Z-2a$$

Divide both sides by $4$.

$$y=\frac{Z}{4}-\frac{a}{2}$$

The system is now solved.

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