Question

Solve for x in each of the equations below. (isolate the value of x)

a. y = x² – 100 b. y = -x+1

A) a. x = 10, b. x = 0
B) a. x = -10, b. x = -2
C) a. x = 0, b. x = 1
D) a. x = 12, b. x = -1

Answer 1

Upon solving the equations for x, the first equation yields two solutions, x = 10 and x = -10, and the second equation yields x = 1. Therefore, the correct pairing is a. x = 10, x = -10; b. x = 1.

Step-by-step explanation:

To solve for x in each of the given equations, we'll need to isolate x.

For equation a. y = x² – 100, we set y to 0 (since we're looking for the x-intercepts) and solve for x. First, we would add 100 to both sides to get x² = 100. Next, we would take the square root of both sides, giving us x = ±10, which means x can be 10 or -10.

For equation b. y = -x + 1, we again set y to 0 and solve for x. Add x to both sides, and then subtract 1 from both sides to find that x = 1.

Thus, the correct answer is A) a. x = 10, x = -10, b. x = 1.