Question

3-9. solve this system for $m$ and $b$: $342 = 23m + b$ $147 = 10m + b$

Explanation:

Step1: Subtract equations to eliminate $b$

$$(342 = 23m + b) - (147 = 10m + b)$$
$$342 - 147 = 23m - 10m$$
$$195 = 13m$$

Step2: Solve for $m$

$$m = \frac{195}{13}$$
$$m = 15$$

Step3: Substitute $m=15$ into second equation

$$147 = 10(15) + b$$
$$147 = 150 + b$$

Step4: Solve for $b$

$$b = 147 - 150$$
$$b = -3$$

Answer:

$m=15$, $b=-3$