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3 years ago

Solve the system by substitution. y=2x y=10x-16

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Answer:

y=4 x=2

Step-by-step explanation:

y=2x ⇒ I

y=10x-16 ⇒ II

y/2=2x/2

x=y/2 OR 1/2(y)

substitute I in II

y=10(y/2)-16

y=5y-16

SWAP -16 AND y

5y-y=16

4y/4=16/4

y=4

y=2x

(4)/2=2x/2

x=2

Debora [2.8K]3 years ago

4 0

You would first plug in y to the other equation. It doesn’t matter which one you do. So it would look like...
2x=10x-16
Then you would move the like terms to one side
2x-10x=-16
-8x = 16
Then make the x alone by dividing -8 on both sides to solve for x.
X= 16/-8
x = -2
Hope this helped!

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$y=- \frac{2}{3}x+490$

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Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
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Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

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3 years ago

Find two complex numbers whose sum is 12 and whose product is 37.

jeka57 [31]

Answer:

6 ± i and 6 ± i

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 12

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Solve for x in the first equation.

x = 12 - y

Put x as 12-y in the second equation and solve for y.

(12- y)y = 37

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- y² + 12y - 37 = 0

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Put y as 6 ± i in the first equation and solve for x.

x + 6 ± i = 12

x = 12 - 6 ± i

x = 6 ± i

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