Create two equations with the given information. Solve for one variable in equation one. Use that answer to substitute into equation two.
2m+12v=$44 5m+3v=$29
Solve for one variable in equation 1: 2m+12v=44 Subtract 12v from both sides 2m=44-12v Divide both sides by 2 m=(44-12v)/2
Substitute m answer in equation two: 5m+3v=$29 5((44-12v)/2)+3v=29 (220-60v)/2+3v=29 Multiply everything by 2 to eliminate the fraction (2)(220-60v)/2+(2)(3v)=(2)(29) 220-60v+6v=58 220-54v=58 Subtract both sides by 220 -54v= -162 Divide both sides by -54 v= $3.00 cost per video
Substitute v value to find m value: 2m+12v=$44 2m+12(3.00)=44 2m+36=44 Subtract both sides by 36 2m=8 Divide both sides by 2 m=$4.00 cost per movie