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3 years ago

Solve the system of equations for x using elimination. 3x-2y=8 2x+2y=7

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer is: x=3

Add the two equations together to eliminate y from the system.
Then divide each term by 5 and simplify.

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Write the equation of a line that is parallel to 3x+2y=10 and passes through the point (4,-5). Answer in slope-intercept form.

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The equation of line is:

$y = \frac{-3}{2}x+1$

Further explanation:

The standard form of equation in point-slope form is:

$y = mx+b$

Given equation is:

3x+2y=10

We have to convert it into point slope form, for which we have to isolate y on one side of equation

$3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5$

Comparing with standard form:

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As the new line is parallel to given line, their slopes will be equal

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$y = \frac{-3}{2}x+b$

To find the value of b, putting the given point (4,-5) in equation

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Keywords: Point-slope form, equation of line

Learn more about point-slope form of equation at:

#LearnwithBrainly

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