Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. y = x2 − 2x − 19 y + 4x = 5 The pair of points representing the solution set of this system of equations is (-6, 29) and _________.

Answer 1

The solution set of the given system of equations is (-6, 29) and (4, -11).

Step-by-step explanation:

The given system of equations is:

y = x^2 − 2x − 19

y + 4x = 5

To find the solution set, we can substitute the value of y from the second equation into the first equation:

x^2 - 2x - 19 + 4x = 5

Simplifying the equation, we get:

x^2 + 2x - 14 = 0

Factoring or using the quadratic formula, we find that x = -6 or x = 4.

Substituting these values of x back into the second equation, we can find the corresponding values of y:

When x = -6, y + 4(-6) = 5, which gives y = 29.

When x = 4, y + 4(4) = 5, which gives y = -11.

Therefore, the solution set of this system of equations is (-6, 29) and (4, -11).