6 x - 2 y = 5

3 x - y = 10 Solve the system of equations.

Step-by-step explanation:

6 x - 2y = 5

3x - y = 10 / (-1)

6x - 2y = 5

-3x + y = - 10

6x - 2y = 5

y = - 10 + 3x

6x - 2 (-10 + 3x) = 5

y = - 10 + 3x

6x + 20 - 6x = 5

y = - 10 + 3x

0x = 5-20

y = - 10 + 3x

(x, y) e 0 the system has no solution

There is no solution to these systems of equations.

Explanation:

To solve the system of equations: 6x-2y=5 and 3x-y=10, let us find the value of y in terms of x using second equation.

It is obvious that

3x=y+10 or y=3x-10

Now putting

y=3x-10 in first equation i. e.

6x-2y=5, we get 6x-2 (3x-10) = 5 or 6x-6x - 20 = 5 or - 20 = 5, which is not possible