Mara bought 8 boxes of pencils and 3 packages of pens for $24. At the same store, Elaine bought 4 boxes of pencils and 6 packages of pens for $30. How much does one box of pencils cost

pencils=$4

pen=$1.5

Step-by-step explanation:

Step one:

given data

let pencils be x and pens be y

Mara bought 8 boxes of pencils and 3 packages of pens for $24

8x+3y=241

Elaine bought 4 boxes of pencils and 6 packages of pens for $30

4x+6y=302

solve 1 and 2 simulteneoulsy

8x+3y=24X1

4x+6y=30X2

subtract the answer bellow

8x+3y=24

8x+12y=60

0-9y=-36

divide both sides by- 9

y=36/9

y=$4

put y= 4 in 1

8x+3*4=24

8x+12=24

8x=24-12

8x=12

divide both side by 8

x= 12/8

x=3/2

x= $1.5

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9