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2 years ago

Solve this system of eqations y= 2x x= -y+2x show work for full credit

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

8 0

Answer:

x = 2/3

y = 4/3

Step-by-step explanation:

y = 2x ----------------(I)

x = -y + 2 -----------------(II)

substitute y =2x in equation (II)

x = -2x + 2

x + 2x = 2

3x = 2

x = 2/3

Plugin x = 2/3 in equation (I)

y = 2 * $\frac{2}{3}$

y = 4/3

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2 years ago

What is the sum of additive inverse and multiplicative inverse of 2?<br><br>answer fast

nika2105 [10]

Answer:

-3/2

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2 years ago

Holli's house is located at (−1, 4). She can walk in a straight line to get to Jedd's house. A fast food restaurant is located a

mojhsa [17]

<h2>Answer:</h2>

The coordinate of Jedd's house is:

(-7,-2)

<h2>Step-by-step explanation:</h2>

We know that if a Point P(a,b) partitions the line joining the point (x,y) and (x',y') in the ratio m:n

Then the coordinates of the point P is given by:

$a=\dfrac{mx'+nx}{m+n},\ b=\dfrac{my'+ny}{m+n}$

Here m:n=1:2

and (a,b)=(-3,2) i.e. location of the food restaurant.

and

(x,y)=(-1,4) i.e. location of Holli's house.

and (x',y') is the location of Jedd's house.

Hence, we have:

$-3=\dfrac{1\times x'+2\times (-1)}{1+2}\ and\ 2=\dfrac{1\times y'+2\times 4}{1+2}\\\\i.e.\\\\-3=\dfrac{x'-2}{3}\ and\ 2=\dfrac{y'+8}{3}\\\\i.e.\\\\-3\times 3=x'-2\ and\ 2\times 3=y'+8\\\\i.e.\\\\-9=x'-2\ and\ 6=y'+8\\\\i.e.\\\\x'=-9+2\ and\ y'=6-8\\\\i.e.\\\\x'=-7\ and\ y'=-2$