Solve the system. 300x-y=130 200x+y=120 a. (1,170) b. (0.5,20) c. (1.5,150) d. (2,300)

i think the answer is B my apologies if i'm wrong

The correct option is B

Step-by-step explanation:

First step we should build an equation´s system with the two equations

300x-y=130

200x+y=120

Now we clear "y" from one of the equations, i choose the first one

y= 300x-130, and replace it in the second one

200x + (300x-130)=120 ⇒ 200x+300x-130=120

500x=120+130 ⇒ 500x=250 ⇒ x=

x=0.5

Final step we replace that value in some of the equations

y= 300*(0.5) - 130

y= 150-130 ⇒ y=20

So in conclusion we have found the point (0.5,20)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic