Question

practice solve each system subtraction to eliminate one 1. \\(\

$$\begin{cases} 3x - 2y = 14 \\\\ 2x + 2y = 6 \\end{cases}$$

\\)

Explanation:

Step1: Add equations to eliminate $y$

$$(3x - 2y) + (2x + 2y) = 14 + 6$$
$$5x = 20$$

Step2: Solve for $x$

$$x = \frac{20}{5} = 4$$

Step3: Substitute $x=4$ into second equation

$$2(4) + 2y = 6$$
$$8 + 2y = 6$$

Step4: Solve for $y$

$$2y = 6 - 8 = -2$$
$$y = \frac{-2}{2} = -1$$

Answer:

$x=4$, $y=-1$