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tia_tia [17]
3 years ago
8

How many solution does this have and how do you solve it

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer:

Infinite solutions

Step-by-step explanation:

To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.

To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.

"x" and "y" represent points on the line.

"m" represents the slope, which is how steep a line is.

"b" represents the y-intercept (where the graph hits the y-axis).

Isolate "y" in both equations:

x + 3y = 0

3y = -x        Subtract 'x' from both sides

y = -x/3        Divide both sides by 3.

y = -\frac{1}{3}x

The slope is -1/3.

9y = -3x

y = -3x/9        Divide both sides by 9

y = -\frac{3}{9}x        Reduce the fraction to lowest terms

y = -\frac{1}{3}x

The slope is -1/3, but the two equations are the same.

Since the equations are the same, or <u>equivalent</u>, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, <u>there are infinite solutions</u>.

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HELP ASAP! Which of the following tables represents a linear function?
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Table A, B and D are represents a linear function.

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The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

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For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

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1 year ago
Suppose f(x) = 3x^2 - 2x... Find f(-4)​
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3 years ago
Help me with my work plz.
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Given the following:

cos∝ = √3/8 and sinβ = √3/3

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Get sin∝

Since cos∝ = √3/8

adj = √3

hyp = 8

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opp = √64 - 3

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Recall that sin∝ = opp/hyp  

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Recall that cosβ = adj/hyp

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Sin(∝-β) = √366/24 - √9/24

Sin(∝-β) = (√366 - 3)/24

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