how do I solve this

Question

{y=2x−6

4x−2y=14

Use the substitution method.

The solution is (4, 14)

The solution is (14, 4)

There is no solution.

There are an infinite number of solutions.

Answer 1

Since the first equation is in the form "y equals some expression," it would be easier to substitute this into the second equation. In other words, replace every y in the second equation with (2x - 6). Then you will have a linear equation in terms of x. Solve that equation for x, which will enable you to subsequently find y, assuming that a solution exists. Can you handle the rest, Kyona?

Answer 2

y=2x-6

4x-2y=14

divide both sides of equation 2 by 2

2x-y=7

2x-7=y

y=2x-7

y=2x-6  (first equation)

2x-6=2x-7

-6=-7 is a false statement, therefore there is no solution

if you use substitution with the equations as they stand...

4x-2(2x-6)=14

4x-4x+12=14

12=14 which again is a false statement so there is no soluton