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3 years ago

Please please help me!!!

Mathematics

1 answer:

Tpy6a [65]3 years ago

8 0

Answer:

✔️The correct system of linear equations:

2x + 3y = 34

3x + 2y = 36

Cost of each roast beef sandwich: $8

Cost of each turkey sandwich: $6

Step-by-step explanation:

Cost of each roast beef sandwich = x

Cost of each turkey sandwich = y

First platter consists of:

2 roast beef sandwiches, which costs 2 × x = 2x, and,

3 turkey sandwiches, which costs 3 × y = 3y.

Total cost of first platter is $34.

Thus, an equation that represents this scenario would be:

2x + 3y = 34.

The other platter consists of:

3 roast beef sandwiches, which costs 3 × x = 3x, and,

2 turkey sandwiches, which costs 2 × y = 2y.

Total cost is $36.

Thus, an equation that represents this scenario would be:

3x + 2y = 36.

The correct system of linear equations would be:

2x + 3y = 34

3x + 2y = 36

Find the value of x and y by solving simultaneously.

Thus:

2x + 3y = 34 ----› Eqn. 1 × 2

3x + 2y = 36 ----› Eqn. 2 × 3

4x + 6y = 68

9x + 6y = 108

Subtract

-5x = - 40

Divide both sides by -5

x = 8

Cost of each roast beef sandwich = x = $8

Substitute x = 8 into eqn. 1.

2x + 3y = 34 ----› Eqn.

2(8) + 3y = 34

16 + 3y = 34

3y = 34 - 16

3y = 18

Divide both sides by 3

y = 6

Cost of each turkey sandwich = y = $6

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Find out more on problems requiring equating at brainly.com/question/20213883.

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