Question

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Laura graphs these equations and finds that the lines intersect at a single point, ( 1.5, -1/5)

EQUATION A: = -2y +6x=12

EQUATION B: 4x+12y=-12

Which statement is true about the values x= 1.5 and y= -1.5

A. They satisfy equation A but not equation B

B. They satisfy equation B but not equation A

C. They are the only values that make the equation true

D. They show that the lines are perpendiculer

Answer 1

c

Explanation:

a pex i am soo sure about it

Answer 2

They are the only values that make the equation true

Explanation:

Equation A =
`-2y +6x=12`

Equation B:
`4x+12y=-12`

Intersection point (1.5,-1.5)

Option A. They satisfy equation A but not equation B

`-2y +6x=12`

Substitute x = 1.5 and y = -1.5

`-2(-1.5) +6(1.5)=12`

`12=12`

Satisfied Equation A

`4x+12y=-12`

Substitute x = 1.5 and y = -1.5

`4(1.5)+12(-1.5)=-12`

`-12=-12`

Satisfied Equation B

Thus Option A is Wrong.

Option B. They satisfy equation B but not equation A

Option B is wrong Proved Above

Option C : They are the only values that make the equation true

Since they are satisfying both the equations

Hence Option C is true.

Option D. They show that the lines are perpendicular

`y = mx+c`

Where m is the slope

Equation A =
`-2y +6x=12`

`6x-12=2y`

`(6x-12)/(2)=y`

`3x-6=y`

Thus the slope of equation A is 3

`4x+12y=-12`

`4x-12=-12y`

`(4x-12)/(-12)=y`

`(-x)/(3)+1=y`

Slope of equation B is
`(-1)/(3)`

Two Lines are perpendicular if their slopes are same

Thus Option D is wrong since slopes are different .

Hence Option C is true:They are the only values that make the equation true