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3 years ago

System Of Equations Elimination Method

Mathematics

1 answer:

andre [41]3 years ago

5 0

1. x = 3, y = 2
2. x = -99/68, y = -14/17
3. x = -4, y = 1
4. x = 1, y = 5
5. x = -1, y = 0
6. x = 2, y = -3
7. x = 14, y = 20

I attached the pictures with the work.

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How many solutions are there for the system of equations shown on the graph?

PSYCHO15rus [73]

Answer:

Only one solution

Step-by-step explanation:

Given that there is a coordinate plane (say xy)

Two lines are given.

One line crosses the y axis at 3 and has a slope of negative 1.

hence equation of I line is y = -x+3

The other line crosses the y axis at 3 and has a slope of two thirds.

So equation is y = 2x/3 +3

Since the two lines lie in the same plane and are having different slopes, they intersect at one point.

Eliminate y to get

-x+3=2x/3+3

Or x=0

y=3

Hence solutionis (0,3) for the system.

6 0

4 years ago

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For the point Pleft parenthesis 5 comma 2 right parenthesis and Qleft parenthesis 12 comma 7 right parenthesis, find the distan

Viktor [21]

Answer:

The distance is $\sqrt{74}$ which is approximately equal to 8.602 units

The midpoint is (8.5 , 5.5)

Explanation:

1- Getting the distance:

The distance between two points can be calculated using the following rule:

$Distance = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

$Distance = \sqrt{(12-5)^2+(7-2)^2}=\sqrt{74} = 8.602 units$

2- Getting the midpoint:

The midpoint of two points is calculated as follows:

$Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

$Midpoint = (\frac{5+12}{2} , \frac{2+7}{2}) = (8.5 , 4.5)$

Hope this helps :)

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3 years ago

Explain how finding 4 x 384 can help you find 4x5384. then find both products.

Harman [31]

Finding 4 x 384 helps you find 4 x 5384 because once you have the answer to 4 x 384, you can then just add the answer to 4 x 5000 to the answer of 4 x 384.
4 x 384 = 1,536
4 x 5000 = 20,000
20,000 + 1,536 = 21,536

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3 years ago

8.53*14.2 solve and showing the break down

Solnce55 [7]

Answer: 121.126

Step-by-step explanation:

8.5 3

x 1 4.2

1 7 0 6 (2 x 853)

3 4 1 2 0 (40 x 853)

8 5 3 0 0 (100 x 853)

12 1 1 2 6

12 1 .1 2 6 (moved the decimal 3 places)

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4 years ago

How many dimes are equal to $9? (10 dimes = $1.00)

Ivanshal [37]

90 dimes. Hope I helped

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3 years ago

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