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

Question

3 years ago

15

and five eyeliners for $14. Find out how much each item costs.

1 answer:

Snowcat [4.5K] · Answer 1 · 2022-05-26T04:23:41+03:00

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:

#LearnwithBrainly