Answer:
100 = 2x + 5y
44 = x + y
We can use elimination to solve this.
Multiply all terms in 2nd equation by 2.
88 = 2x + 2y
Subtract equation 2 from equation 1.
(100 = 2x + 5y) - (88 = 2x + 2y)
12 = 3y
Divide both sides by 3.
y = 4
The value of y is equal to 4, and so we can solve for the value of x.
44 = x + y
44 = x + 4
Subtract 4 from both sides.
40 = x
The value of x is equal to 40.
We can plug in the values to make sure our answer is correct.
100 = 2(40) + 5(4)
100 = 80 + 20
100 = 100 √ this is correct
44 = x + y
44 = 40 + 4
44 = 44 √ this is correct
And so, there are 40 two point questions, and 4 five point questions.
Step-by-step explanation:
