Question

At a grocery store, Candy buys 2 cantaloupes at "x" dollars each and 1 watermelon at "y" dollars. Her total bill is $9. Chip goes to the same grocery store and buys 1 cantaloupe at "x" dollars and 1 watermelon at "y" dollars. His total bill is $6.

Write and solve a system of linear equations by graphing to find the cost "x" of a cantaloupe and the cost "y" of a watermelon.
#mathnextperiod

Answer 1

2x + y = 9
x + y = 6
To graph, rewrite in y=mx+b form
y = -2x + 9 (slope -2, y-intercept 9)
y = -x + 6 (slope -1, y-intercept 6)

Once you graph you will see that the point of intersection is (3,3).
The cantaloupe costs $3 and the watermelon costs $3.

Answer 2

9 = 2x + y
6 = x + y
are the equations