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Tju [1.3M]
2 years ago
14

The Spanish club is selling plates of food as a fundraiser. A plate with 2 tacos, 2 cheese enchiladas, and 1 tamale costs $8.50.

A plate with 3 tacos, 2 cheese enchiladas and 2 tamale costs 13.00. A plate with 1 taco 3 cheese enchiladas and 2 tamales cost 11.25. If x, y, and z represent the costs of a taco, enchilada, and 2 tamale respectively, write any one of the equations that can used in a system to determine the cost of a taco, enchilada, and tamale.
Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

Step-by-step explanation:

Put the numbers that represents tacos, enchiladas and tamales in front of x, y and z

For instance,

2x+2y+1z=8.50

3x+2y+2z=13

1x+3y+2z=11.50

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Solve the system of equations algebraically.
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Answer:

Option (d) is correct.

(1, 0) is the solution of the given system of equation.

Step-by-step explanation:

Consider the given system of equation

4x - 2y = 4    ........(1)

6x - 4y = 6   ........(2)

We have to solve the system algebraically ,

We will solve it by elimination method,

Multiply equation (1) by 2, we get,

(1) ⇒ 8x - 4y = 8        ............(3)

Subtract equation (2) from (3) , we get,

8x - 4y - (6x - 4y) = 8 - 6

8x - 4y - 6x + 4y = 2

8x - 6x = 2

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Substitute x = 1 in (1) and solve for y , we get,

⇒ 4x - 2y = 4 ⇒ 4 (1) - 2y = 4 ⇒ 2y = 4 - 4  ⇒ 2y = 0 ⇒ y = 0

Thus,  (1, 0) is the solution of the given system of equation.

Option (d) is correct.

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