Solve a - 2b = 1; 59 - 4b = 3 | 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

$$a-2b=1; 59-4b=3$$

Solve for a, b

$a=29$
$b=14$

Solution Steps

Consider the second equation. Subtract $59$ from both sides.

$$-4b=3-59$$

Subtract $59$ from $3$ to get $-56$.

$$-4b=-56$$

Divide both sides by $-4$.

$$b=\frac{-56}{-4}$$

Divide $-56$ by $-4$ to get $14$.

$$b=14$$

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

$$a-2\times 14=1$$

Multiply $-2$ and $14$ to get $-28$.

$$a-28=1$$

Add $28$ to both sides.

$$a=1+28$$

Add $1$ and $28$ to get $29$.

$$a=29$$

The system is now solved.

$$a=29$$ $$b=14$$