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Bezzdna [24]
3 years ago
11

Solve the equation 3x-4y=16 for x

Mathematics
2 answers:
dolphi86 [110]3 years ago
5 0

Hi there!


One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D


Let's begin!


3x - 4y = 16


Step 1) Add 4y to both sides.


3x - 4y + 4y = 16 + 4y 3x = 4y + 16


Step 2) Divide both sides by 3.


\frac{3x}{3} =  \frac{4y + 16}{3}


x =  \frac{4}{3} y +  \frac{16}{3}


Final answer -


x =  \frac{4}{3} y +  \frac{16}{3}


If you wanted to see this graphed, however, see the attached file. :)


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

Alex Ar [27]3 years ago
4 0
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
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4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

Refer to the diagram below. Note how I divided the figure into two rectangles.

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