Question

multiple choice 1 point
which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?
a) (-1, 5) b) (5, -1)
c) (-5, 1) d) (1, -5)
a
b
c
d
clear my selection
8 multiple choice 1 point

Explanation:

Step1: Set equations equal

Since $y=-7x+2$ and $y=9x-14$, set them equal:
$$-7x + 2 = 9x - 14$$

Step2: Solve for x

Isolate x terms and constants:
$$2 + 14 = 9x + 7x$$
$$16 = 16x$$
$$x = \frac{16}{16} = 1$$

Step3: Find y with x=1

Substitute $x=1$ into $y=-7x+2$:
$$y = -7(1) + 2 = -7 + 2 = -5$$

Answer:

D. $(1,-5)$