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aliina [53]
2 years ago
9

Last week salazar played 13 more tennis games than perry. if they played a combined total of 53 games. How many games did salaza

r play?
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
6 0

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

Learn more on total here:

brainly.com/question/14306809

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Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

<em><u>System A</u></em>

2x - 3y = 4  .....equation 1

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We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

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4x - 6y = 8  ...... equation 3

Subtracting eqn 2 from eqn 3;

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Substituting eqn 2 into eqn 1, we have;

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To find the value of y;

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2x - 3y = 4  ..... equation 1

12x - 3y = 54  ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

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3y = 10 - 4

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y = \frac {6}{3}

y = 2

<u><em>Solutions (x, y) = (5, 2)</em></u>

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