Solve using Cramer's Rule.
-The sum of a student's three scores is 230. If the first is 22 points more than the second, and the sum of the first two is 14 more than twice the third, what was the first score?
A) 72
B) 68
C) 50
D) 90

Question

Quizplus · Accepted Answer

To solve using Cramer's Rule, set up the system of equations:  1. x + y + z = 230  2. x = y + 22  3. x + y = 2z + 14  Rewriting the equations:  1. x + y + z = 230  2. x - y = 22  3. x + y - 2z = 14  The determinant of the coefficient matrix is non-zero, so Cramer's Rule can be applied. Solving for x using determinants, we find x = 90.

Solve Using Cramer's Rule