Question

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1) (1, negative 5) (5, negative 1) (Negative 1, 5)

Answer 1

Answer:

B. $(1,-5)$

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

$y=-7x+2...(1)$

$y=9x-14...(2)$

To solve our given system, we will equate both equations as:

$9x-14=-7x+2$

Combine like terms:

$9x+7x-14+14=-7x+7x+2+14$

$16x=16$

$x=\frac{16}{16}=1$

Upon substituting $x=1$ in equation (1), we will get:

$y=-7(1)+2\\\\y=-7+2\\\\y=-5$

Therefore, the ordered pair $(1,-5)$ is the solution of the given system and option B is the correct choice.

Answer 2

the answer is obviously B