MATHEMATICS MIDDLE SCHOOL

I Need Help Plz And Thank You And Show All Work And Steps.Solve each system using the substitution method. Show all work and steps.

4.5.1) 2x-5y=8
x=3y-1

A. Substitute the equation that is already solved for one variable into the other equation.

B. Solve for the single variable in the one-variable equation.

C. Substitute the result from the previous step into x=3y−1 and solve for the unknown variable.

D. Write the solution as an ordered pair. E. Check the solution with the equation not used in Step C.

Answers

Answer 1

Answer:

Answer: X=29

Step-by-step explanation:

First you substitute the x's: 2(3y-1)-5y=8

Then you open parenthesis:6y-2-5y=8

Combine like terms: y-2=8

Bring the 2 to the other side: y=10

Now you substitute the y with the answer: x=30-1

Easy equation: x=29

Answer 2

Answer: The answer will be x=29

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A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in cubic inches? Use the formula , where V represents the volume, l represents the length, w represents the width, and h represents the height.

Answers

Hey there,

Formula: V = lwh

Plug in and solve:

V = (8)(4)(12)

V = 384 inches

Hope I helped!

-Char

Answer:

$\text{Volume of box of cereal}=384\text{ in}^3$

Step-by-step explanation:

We have been given that a box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches.

To find the volume of our give box we will use volume of cuboid formula.

$\text{Volume of cuboid}=l*w*h$ , where,

$l=\text{Length of cuboid}$ ,

$w=\text{Width of cuboid}$ ,

$h=\text{Height of cuboid}$ .

Upon substituting our given values in volume formula we will get,

$\text{Volume of box of cereal}=\text{8 in*4 in*12 in}$

$\text{Volume of box of cereal}=384\text{ in}^3$

Therefore, the volume of box of cereal is 384 cubic inches.

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