Question

Solve this 2 system equations 2x - y = 7 and 6x - 3y = 14

Answer 1

Start by solving for one variable.
2x-y=7
-y=-2x+7
y=2x-7 Plug this in for y in the other equation

6x-3(2x-7)=14
6x-6x+21=14
21=14 This is false therefore the equations are inconsistent

Answer 2

No solution

Explanation:

Consider the given two lines

2x-y = 7 and 6x-3y = 14

Multiply the first equation by 3

6x-3y = 21 and Ii equation is 6x-3y =14

We observe both are of the 6x-3y = k for different ks

Hence these two are parallel lines.

As parallel lines never meet these line will not meet at all.

There cannot be any solution for this system.

If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as

0 = 7

This confirms that this system cannot be solved.