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Lynna [10]
3 years ago
5

PLEASE HELP MEE please33​

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

Answer:

x=3, y=-1

Step-by-step explanation:

3x+y=8, 2x-2y=8

Double the first equation, then add the second

  6x+2y=16

+ 2x-2y=8

The y's cancel each other out.

8x=24

x=3

Solve for y

6-2y=8

2y=-2

y=-1

Double check:

6(3)+2(-1)=16

18-2=16

Yay!

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elena-14-01-66 [18.8K]

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

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I hope you find my answer and explanation helpful. Happy studying. :)

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Step-by-step explanation:

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