can anyone help me solve 2 problems with substitution? :)

- anonymous

can anyone help me solve 2 problems with substitution? :)

- jamiebookeater

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- anonymous

2 = 2y - x
23 = 5y - 4x

- Rogue

If you rearrange the first equation, you can get:
x = 2y - 2
You can then plug that into the x in the second equation.
23 = 5y - 4(2y - 2)
Then just solve that for y. After you get y, plug y back into x = 2y - 2 to get your x value. After you have both the x and y values, your done!

- anonymous

thank you! i got -12, -5

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- Rogue

Good job :)

- anonymous

& i also have a last problem like that

- anonymous

if you have time:)

- Rogue

Sure, hit me.

- anonymous

The measure of one acute angle in a right triangle is four times the measure of the acute angle. Write and solve a system of equations to find the measure of the acute angles.

- Rogue

Alright, so what do you know about the total degree measure of a triangle? The degree measure of a right angle?

- anonymous

180 & 90

- Rogue

Alright, good. Total angle measure = angle 1 + angle 2 + angle 3.
180 = 90 + angle 2 + angle 3
90 = angle 2 + angle 3
So the sum of the two acute angles is 90 degrees.

- anonymous

yess:)

- Rogue

If you let x = measure of the smaller acute angle, what is the measure of the bigger acute angle?

- anonymous

that's the part i don't understand.

- Rogue

Well, the bigger acute angle is 4 times as much as the smaller one.
Small acute angle = x
Big acute angle = 4x

- Rogue

And their sum is 90 degrees, so
90 = x + 4x

- anonymous

ohh!

- Rogue

You can do the rest right? :)

- anonymous

yes thank you!! :) i wish i had your brain lol

- Rogue

Haha, thanks, don't worry, you'll get there :)

- anonymous

and one more question, but short

- anonymous

x + 3 = y
3x + 4y = 7
so that would be; 3x + 4(x + 3) = 7 ?

- Rogue

Yep, nice :)

- anonymous

thanks! :)

- Rogue

For systems, just try to find a way to substitute one equation into the other.

- anonymous

Okay! thank you:D

- Rogue

Good luck with the rest, byes. :)

- anonymous

byee:)

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