At a grocery store, Candy buys 2 cantaloupes at x dollars each and 1 watermelon at y dollars. His 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 cantaloupe and the cost y of a watermelon answer

Given:

Cantaloupe is represented by X

Watermelon is represented by Y

Candy: 2 cantaloupes at x dollars each and 1 watermelon at y dollars for a total of $9.

2x + y = 9

Chip: 1 cantaloupe at x dollars and 1 watermelon at y dollars for a total of $6.

x + y = 6

2x + y = 9

x + y = 6

y = 9 - 2x

x + y = 6

x + (9 - 2x) = 6

x + 9 - 2x = 6

-x = 6-9

-x = - 3

x = - 3/-1

x = 3 cost of 1 cantaloupe

x + y = 6

y = 6 - x

y = 6 - 3

y = 3 cost of 1 watermelon

2x + y = 9

2 (3) + 3 = 9

6 + 3 = 9

x + y = 6

3 + 3 = 6