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Vinil7 [7]
3 years ago
15

PLEASE ANSWER ASAP WILL GIVE BRAINLIEST Bob bought three chapsticks and two eyeliners for 7 dollars. Brandi bought 4 chapsticks

and five eyeliners for $14. Find out how much each item costs.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

The cost of one chapstick is $1 and one eyeliner is $2.

Step-by-step explanation:

Let,

Cost of one chapstick = x

Cost of one eyeliner = y

According to given statement;

3x+2y=7      Eqn 1

4x+5y=14    Eqn 2

Multiplying Eqn 1 by 4

4(3x+2y=7)\\12x+8y=28\ \ \ Eqn\ 3

Multiplying Eqn 2 by 3

3(4x+5y=14)\\12x+15y=42\ \ \ Eqn\ 4

Subtracting Eqn 3 from Eqn 4

(12x+15y)-(12x+8y)=42-28\\12x+15y-12x-8y=14\\7y=14

Dividing both sides by 7

\frac{7y}{7}=\frac{14}{7}\\y=2

Putting y=2 in Eqn 1

3x+2(2)=7\\3x+4=7\\3x=7-4\\3x=3

Dividing both sides by 3

\frac{3x}{3}=\frac{3}{3}\\x=1

The cost of one chapstick is $1 and one eyeliner is $2.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

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