Question

Solve the system. 300x-y=130 200x+y=120

A. (1,170)
B. (0.5,20)
C. (1.5,150)
D. (2,300)

Answer 1

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

Answer 2

The correct option is B

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=
`(250)/(500)`

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)