2x - y = 11

6x - 3y = 15

solve for x and y using elimination

Step-by-step explanation:

Given the simultaneous equation

2x - y = 11. Equation 1

6x - 3y = 15. Equation 2

Using elimination method

Multiply the coefficient of x in equation 1 (which is 2) to equation 2. Also, multiply the coefficient of x in equation 2 (which 6) to equation 1. By doing this we are going to eliminate x

2x - y = 11. * 6 Equation 1

6x - 3y = 15. * 2 Equation 2

12x-6y=66. Equation 3

12x-6y=30. Equation 4

Subtract equation 4 from 3

Then (12x-6y) - (12x-6y) = 66 - 30

0=36

Which is not possible

Then the system has no solution, it has no solution at all. Because 0 is not equal to 36. If has been 0 equals to 0, then we may many solutions for simultaneous equation.