6X+5Y=7X+3Y=2(X+6Y-1)
To solve the given equation set, let's break it down step by step:
1. Start by distributing the 2 to the terms within the parentheses:
6X + 5Y = 7X + 3Y = 2X + 12Y - 2
2. Combine like terms on the left side of the equation:
(6X - 7X) + (5Y - 3Y) = 2X + 12Y - 2
Simplifying further, this becomes:
-X + 2Y = 2X + 12Y - 2
3. Move all the variables to the left side and constants to the right side:
-X - 2X + 12Y - 2Y = 2
Combining like terms, we have:
-3X + 10Y = 2
Now, we have simplified the equation set to a single equation.
4. Rearrange the equation to solve for one variable in terms of the other:
-3X = -10Y + 2
Divide both sides of the equation by -3:
X = (-10Y + 2)/(-3)
5. You now have an expression for X in terms of Y. To further simplify, perform the division and distribute the negative sign:
X = (10Y - 2)/3
So, you have found the value of X in terms of Y.
To solve for both X and Y, you would need another equation with the same variables. The given equation set does not have enough information to find specific values for X and Y.