ELIMINATION FOR 2X+3Y=15 AND X-3Y=3

Answer 1

To eliminate y in the given system of equations, we can add the two equations together to eliminate the y variable:

2x + 3y + x - 3y = 15 + 3

This simplifies to:

3x = 18

Now we can solve for x by dividing both sides by 3:

3x/3 = 18/3
x = 6

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation:

x - 3y = 3
6 - 3y = 3

Subtract 6 from both sides:

-3y = -3

Divide by -3:

y = 1

Therefore, the solution to the system of equations is x = 6 and y = 1.