Question

Instructions:Select the correct answer from each drop-down menu. Consider this system of linear equations: 22x − y = -23 (equation 1) 11x + 12y = 1 (equation 2) To find the value of x, you need to substitute in equation 2. The value of x is .

Answer 1

The given system of equations is
22x - y = -23 (1)
11x + 12y = 1 (2)

Write (1) as
y = 22x + 23 (3)

Substitute (3) into (2).
11x + 12(22x + 23) = 1
11x + 264x + 276 = 1
275x = 1 - 276 = -275
x = -1

From (3), obtain
y = 22*(-1) + 23 = 1

Answer: x = -1