Question

Jack and Jill went for a walk separately. Jack’s total distance in blocks, x, was thirty blocks fewer than twice Jill’s total distance in blocks, y. The difference between five times Jack’s total distance and twice Jill’s total distance is ten blocks. The following system can be used to model this relationship.

Answer 1

Answer:

x= 2y -30

5x-2y=10

Step-by-step explanation:

substitute x= 2y-30 into the 2nd equation

5(2y-30)-2y = 10

10y-150-2y=10

10y -150-2y= 10

8y-150=10

  +150     +150

__________________________

8y= 160 so y =20   substitute y=20 into x=2y-30 so 40-30=10 so x=10 & y=20