Question

solve the system of equations using the elimination method.\

$$\begin{cases}-7x + 6y = -10\\\\x - 6y = 22\\end{cases}$$

\
select one:\
\bigcirc a. infinite solutions.\
\bigcirc b. $(-4, 2)$\
\bigcirc c. $(-2, -4)$\
\bigcirc d. no solution.

Explanation:

Step1: Add the two equations

$$(-7x + 6y) + (x - 6y) = -10 + 22$$
$$-6x = 12$$

Step2: Solve for $x$

$$x = \frac{12}{-6} = -2$$

Step3: Substitute $x=-2$ into second equation

$$-2 - 6y = 22$$

Step4: Solve for $y$

$$-6y = 22 + 2 = 24$$
$$y = \frac{24}{-6} = -4$$

Answer:

C. $(-2,-4)$