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3 years ago

Solve the system of equations using elimination. 2x – 3y = 9 and 3x + 2y = –6

2 answers:

7 0

We will multiply the given equations so that the x component is cancels out upon addition...

-3(2x-3y=9)+2(3x+2y=-6) perform indicated operations.

(-6x+9y=-27)+(6x+4y=-12) which is equal to:

13y=-39 divide both sides by 13

y=-3, making <span>2x-3y=9 become:

2x-3(-3)=9

2x+9=9 subtract 9 from both sides

2x=0 divide both sides by 2

x=0

So the solution to the system is the point (0,-3)...

You can check with the two original equations...

2(0)-3(-3)=9, 9=9

3(0)+2(-3)=-6, -6=-6</span>

Whitepunk [10]3 years ago

5 0

(0,-3) is the point which is your system of equations using elimination answer

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Read 2 more answers

A Crayon is shown here.

Aleks04 [339]

The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A Crayon is shown here.

There are 24 crayons in a box.

The approximate total volume of the crayons will be

Total Volume of crayons = 24 × volume of the single crayon

The crayon is the combination of the cone and the cylinder

Then the volume of the single crayon (V₁) will be

$\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times r^2 \times h \right ) + \left ( \pi \times r^2 \times h \right )\\\\\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times 1.5^2 \times 2 \right ) + \left ( \pi \times 1.5^2 \times 12 \right )\\\\V_1 = 4.712 + 84.82\\\\V_1 = 89.535 \approx 89.5$

Then the Total volume will be

Total volume = 24 × 89.5

Total volume = 2148 cm³

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

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2 years ago