Answer: The system of equations would be:
2y - x = 6
3y - x = 4
With the answer of X being -10 and Y= -2
Explanation:
Add x to both sides:
2y = x + 6
Subtract 6 from both sides:
2y - 6 = x
Now we can substitute this expression for x into the second equation:
3y - x = 4
Substitute 2y - 6 for x:
3y - (2y - 6) = 4
Simplify by distributing the negative sign:
3y - 2y + 6 = 4
Combine like terms:
y + 6 = 4
Subtract 6 from both sides:
y = -2
Now that we have found the value of y, we can substitute it back into one of the equations to find the value of x. Let's use the first equation:
2y - x = 6
Substitute y = -2:
2(-2) - x = 6
Simplify:
-4 - x = 6
Add x to both sides:
-4 = x + 6
Subtract 6 from both sides:
-10 = x
Therefore, the solution to the system of equations 2y - x = 6 and 3y - x = 4 is x = -10 and y = -2.