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3 years ago

What is the solution? 1/4x-1/2y=8 1/2x+3/4y=-5

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

4 0

Answer: x=8; y=-12

Step-by-step explanation:

1. You can apply the Elimination method:

- Mulitply the first equation by -2:

$-2(1/4x-1/2y)=8(-2)$

$-1/2x+y=-16$

- Sum both equations and solve for y:

$-1/2x+y=-16 \\1/2x+3/4y=-5\\----------\\7/4y=-21\\y=-12$

- Substitute the value obtained (y=-12) in one the original equations and then solve for x:

$1/4x-1/2(-12)=8\\1/4x=2\\x=8$

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Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

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- Divide each term of the equation by 3

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∵ The two equations have same slope m = $\frac{1}{3}$

∵ The two equations have different y-intercepts c = $\frac{5}{3}$

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∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

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Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

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