Question

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

Answer 1

2x + y = 9

x + y = 6

Explanation:

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

Answer 2

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