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Vsevolod [243]
2 years ago
11

Please help work this equation

Mathematics
1 answer:
Flauer [41]2 years ago
4 0

Hi!

<u>Given these two equations:</u>

x = y + 8

x + 4 = 2(y + 4)

We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:

(y+8)+4=2(y+4)

Combine like terms on both sides:

y+12=2y+8

Subtract y from both sides:

12=y+8

Subtract 8 from both sides:

y=4

Now, we can simply plug the y value in to the first equation, and solve for x:

x=4+8

Simplify:

x=12

<h3>Therefore, x is equal to 12 and y is equal to 4.</h3>

<u>Learn more about the substitution (and also elimination!) method here:</u>

brainly.com/question/14619835

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Brian made 5 free throws at basketball practice. ethan scored 3 more than twice the number of free throws brian made. which equa
Hatshy [7]
Lets Brian => b and Ethan => e so
b=5
e=3+2b
will be the equation of finding free throws.

5 0
3 years ago
Find the slope please
zavuch27 [327]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of this graph; we are provided with two points:

\star~\mathrm{(6,0)}

\star~\mathrm{(0,-5)}

\triangle~\fbox{\bf{KEY:}}

  • What we need in order to find the slope are two points and the slope formula.

Here's the formula:

\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

\star~\mathrm{\cfrac{-5-0}{0-6}}}

Simplify!

\star~\mathrm{\cfrac{-5}{-6}}}

Simplify more!

\star~\mathrm{\cfrac{5}{6}}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

4 0
2 years ago
Need help simplifying this
diamong [38]

The simplified answer is \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}.

<u>Step-by-step explanation:</u>

$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term (\frac{3x+y}{3x+y}) and 2nd term by (\frac{z+2x}{z+2x})

= \frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= \frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}

Now, the denominators are same, you can subtract it.

= \frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

= \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

Thus the simplified solution is  \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

4 0
3 years ago
A rectangle is 32m by 8m is similar to a rectangle 4m by x m.
Flauer [41]

Answer:

x = 1

Step-by-step explanation:

x/4 = 8/32

x = 1

Best Regards!

5 0
3 years ago
Read 2 more answers
The Theater Club will rent space for rehearsals before their performance. If the space costs $65 per hour. How much will it cost
kifflom [539]
It will cost $780 for that amount too time
8 0
2 years ago
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