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ryzh [129]
3 years ago
8

x = y - 3 x + 3y = 13 What is the solution to the system of equations? A) (1, 4) B) (4, 1) C) (7, 4) D) (2.5, 5.5)

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0
X+ 3y = 13
(y - 3) + 3y =13
4y - 3 = 13
4y -3 + 3 = 13+3
4y = 16
4y/4 = 16/4
y=4

x = 4 - 3
x = 1

A) (1, 4)

Check x+3y =13
1+ 3(4) =13
1 + 12=13
13=13
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The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

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Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

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∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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