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Elden [556K]
3 years ago
5

Write the equation in Slope - intercept form by solving for y. 2x+3y=12

Mathematics
2 answers:
RoseWind [281]3 years ago
8 0

When they ask you to solve for y, they just want you to isolate it on one side of the equal sign (like how it is in a slope-intercept form equation). So to start:

2x + 3y = 12

3y = -2x + 12     <em>Subtract 2x from both sides to move it to the right.</em>

y = \frac{-2}{3} + 4     <em>Divide both sides by 3 to completely isolate the y value.</em>

Notice how y = \frac{-2}{3} + 4 is a slope-intercept form equation and is solved for y.

Therefore, the equation would be y = \frac{-2}{3} + 4.

<em>Hope this helps! :)</em>

Gennadij [26K]3 years ago
7 0

y=-2/3x+4 i hope this helps!

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Answer:

120

240

Step-by-step explanation:

We call the length of first part x

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So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

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For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

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4x + 3y = 1200 ------ equation 2

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4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

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We make y subject

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We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

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7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

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y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

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3 years ago
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Answer:

x+(3x+2)=30

Step-by-step explanation:

Let

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so

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substitute equation B in equation A

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