The ratio of the numerator to the denominator of a certain fraction is five to eight. if five is subtracted from the numerator and four is added to the denominator, the new fraction reduces to one-half. what is the original fraction?

To complete your spring schedule, you must add calculus and physics. at 9: 30, there are three calculus sections and two physics sections; while at 11: 30, there are two calculus sections and three physics sections. how many ways can you complete your schedule if your only open periods are 9: 30 and 11: 30?

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

X+y=-4 x-y=2 use elimination with adding and subtraction