Write the equation popcorn, x drinks, y 51.25 = 5x + 5y 122.25 = 15x + 8y
Multiply the 1st row by 3 15x+15y=153.75 15x+8y=122.251 Subtract the 2nd row from the 1st row 7y=31.5 Divide both sides by 7 y=31.5/7 simplify y = 4.5
Substitute y=4.5 into any of the two equations above Let's pick the first equation 15x+15y=153.75 15x+15(4.5)=153.75 Simplify 15x+67.5=153.75 Subtract 67.5 from both sides 15x=153.75−67.5 Simplify 15x=86.25 Divide both sides by 15 x=86.25/15 Simplify x=5.75
Therefore, x=5.75 y=4.5
Follow along on a piece of paper, it'll help you get it.