How to solve this problem.
3X-Y=12
minus 3x to both sides
-Y=12-3X. THEN DIVIDE BY -1 TO BOTH SIDES
SO Y=-12+3X
3X-Y=12
I think probably you are supposed to get +y alone on the left
first add -3x to both sides
-3x + 3x - y = -3x + 12
or
-y = -3x + 12
but we want +y, not - y
So multiply every term on both sides by -1
(-1)(-y) = (-1)(-3x) + (-1)(12)
or
y = 3x - 12
y=4
hard difficult immposible fail impassible
To solve the problem 3X - Y = 12, we need to find the values of X and Y that satisfy this equation.
Step 1: Isolate one of the variables.
Let's isolate X by getting rid of the coefficient (-1) next to Y:
3X - Y + Y = 12 + Y
3X = 12 + Y
Step 2: Isolate X.
To isolate X, divide both sides of the equation by 3:
(3X)/3 = (12 + Y)/3
X = (12 + Y)/3
Step 3: Substitute the isolated variable in the original equation.
Replace X in the equation 3X - Y = 12 with the expression (12 + Y)/3:
3((12 + Y)/3) - Y = 12
Step 4: Simplify the equation and solve for Y.
Cancel out the 3 in the first part of the equation:
(12 + Y) - Y = 12
12 + Y - Y = 12
12 = 12
Step 5: Analyze the result.
Since the equation 12 = 12 is true, this means the original equation 3X - Y = 12 is true for all values of X and Y. In other words, there are infinitely many solutions to this equation.
Therefore, the solution to the problem 3X - Y = 12 is any pair of values (X, Y) that satisfy the equation.