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• The sum of Dara's and Lucas's points is 34.
• The sum of Dara's and Riley's points is 35.
The sum of Lucas's and Rileys points is 49.
How many points does Dara have? Enter the answer in the box.
points​

Respuesta :

absor201

Dara have 10 points.

Step-by-step explanation:

Let,

Dara's points = x

Luca's points = y

Riley's points = z

According to given statement;

The sum of Dara's and Lucas's points is 34.

x+y=34     Eqn 1

The sum of Dara's and Riley's points is 35.

x+z=35     Eqn 2

The sum of Lucas's and Rileys points is 49.

y+z=49     Eqn 3

Adding Eqn 1 and 2

[tex](x+y)+(x+z)=34+35\\x+y+x+z=69\\2x+y+z=69[/tex]

Putting value of y+z from Eqn 3

[tex]2x+49=69\\2x=69-49\\2x=20[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{20}{2}\\x=10[/tex]

Dara have 10 points.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/8811218
  •  brainly.com/question/853574

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