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aliya0001 [1]
3 years ago
8

Solve the system by elimination. (Please explain how to do it)

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Apply to Row 2 : Row 2 + Row 1

2x + 2y + 3z = 0

y + 4z = -3

2x + 3y + 3z = 5

Apply to Row 3: Row 3 - Row 1

2x + 2y + 3z = 0

y + 4z = -3

y = 5

Apply to Row 3: Row 3 - Row 2

2x + 2y + 3z = 0

y + 4z = -3

-4z = 8

Simplify rows

2x + 2y + 3z = 0

y + 4z = -3

z = -2

<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>

Apply to Row 2: Row 2 - 4 Row 3

2x + 2y + 3z = 0

y = 5

z = -2

Apply to Row 1: Row 1 - 3 Row 3

2x + 2y = 6

y = 5

z = -2

Apply to Row 1: Row 1 - 2 Row 2

2x = -4

y = 5

z = 2

Simplify the rows

<u>x = -2</u>

<u>y = 5</u>

<u>z = -2</u>

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Answer:

B=-1

Step-by-step explanation:

Standard form is Ax+By=C.

In this case, Ax is x, By is 1/5y, and C is +2.

To isolate the 2 (the C), subtract x from both sides of the equation:

x+2=1/5y

-x     -x

2=-x+1/5y.

Now, the value of B, the x value, is -1.

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Four times a certain number increased by 6 is equal to 94.
Nikolay [14]
4x+6=94 is the answer 
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3 years ago
Garrett works for a company that builds parking lots the graph shows the area of a parking lot based on the length of one side.
dedylja [7]

Answer: Option D.

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this is a quadratic equation of the form:

y = ax^2 + bx + c

First, things you must see.

The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.

Second, we can see that the vertex is located in x ≈ 70

The vertex of a quadratic equation is: x = -b/2a

so we have:

70 = -b/2a

let's try our options and see if we can discard other:

B:

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we can discard this option.

C:

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D:

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This is the only one that fits, so this is the correct option.

8 0
3 years ago
Justin’s recipe calls for 5 eggs. If each cupcake ends up with 1/4 of an egg, how many cakecakes will Justin’s recipe make?
ehidna [41]

Answer:

20 cupcakes

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ad-work [718]
Answer:

If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?

9/10

Explanation:

The given multiplication is 3 x 3/10

The word problem that can result to the mathematical expression 3 x 3/10 is:

<em>If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?</em>

Since each of the people get 3/10 of the apple

The three people received a total share of 3 x 3/10 = 9/10r

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1 year ago
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