Question

Answers fast please:

y=3x−49x−3y=14

Use the substitution method.




A.) There is no solution.

B.) The solution is (12, 14).

C.) The solution is (14, 12).

D.) There are an infinite number of solutions.

Answer 1

A.) There is no solution.

Answer 2

Option A. There is no solution.

Explanation:

we have

`y=3x-4` ------> equation A

`9x-3y=14` ------> equation B

substitute equation A in equation B

`9x-3(3x-4)=14`

`9x-9x+12=14`

`12=14` ------> is not true

therefore

The system has no solution

Explanation

The slope of the line A is equal to
`m=3`

Find the slope of the line B

`3y=9x-14`------>
`y=3x-(14/3)`

The slope of the line B is equal to
`m=3`

therefore

Line A and Line B are parallel lines, because the slope is the same

The system has no solution