Question

find the solution of the system of equations.
$5x - 2y = -5$
$5x + 6y = 35$
answer attempt 1 out of 2
(□,□) submit answer

Explanation:

Step1: Subtract equations to eliminate $x$

$$(5x + 6y) - (5x - 2y) = 35 - (-5)$$
$$5x + 6y - 5x + 2y = 40$$
$$8y = 40$$

Step2: Solve for $y$

$$y = \frac{40}{8} = 5$$

Step3: Substitute $y=5$ into first equation

$$5x - 2(5) = -5$$
$$5x - 10 = -5$$

Step4: Solve for $x$

$$5x = -5 + 10 = 5$$
$$x = \frac{5}{5} = 1$$

Answer:

$(1, 5)$