Question

solve by elimination

1. $6x + 3y = 9$

$ - x - 3y = 1$

Explanation:

Step1: Add the two equations

$$(6x + 3y) + (-x - 3y) = 9 + 1$$
$$5x = 10$$

Step2: Solve for x

$$x = \frac{10}{5} = 2$$

Step3: Substitute x=2 into first equation

$$6(2) + 3y = 9$$
$$12 + 3y = 9$$

Step4: Solve for y

$$3y = 9 - 12 = -3$$
$$y = \frac{-3}{3} = -1$$

Answer:

$x=2$, $y=-1$