Question

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solve the system of equations using the linear combination method.
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$$\begin{cases} c + d = 17 \\\\ c - d = 3 \\end{cases}$$

enter your answers in the boxes.
$c = \square$
$d = \square$

Explanation:

Step1: Add the two equations

$$(c + d) + (c - d) = 17 + 3$$
$$2c = 20$$

Step2: Solve for $c$

$$c = \frac{20}{2} = 10$$

Step3: Substitute $c=10$ into first equation

$$10 + d = 17$$

Step4: Solve for $d$

$$d = 17 - 10 = 7$$

Answer:

$c = 10$
$d = 7$