2. Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point
and four-point questions on the test. How many of each type of question are on the test?
X=2 points
2x + 4y =100
4:4 points

answer:

X is the number of 4 point questions and y the 2 point ones.

x+y=40

4x+2y=100

4(40-y)+2y=100

160-4y+2y=100

-2y=-60

2y=60

y=30

So there is 30, question worth 2 points and 10 question of 4 points

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,