how do you solve an equation with letters on both sides
example
y+1/2=-1/3(x+1/2)
You can't solve, but you can simplify.
3y + 3/2 = x + 1/2
x = 3y + 1
If you have another equation with x and y that also applies, you can substitute 3y +1 for x and solve for y. One that value is obtained, substitute it into the above equation to find x.
I hope this helps. Thanks for asking.
To solve an equation with letters on both sides, you need to isolate the variable, in this case, the letter "y." Here's how you can solve the given equation:
1. Start by distributing -1/3 to the terms inside the parentheses on the right side:
y + 1/2 = -1/3 * x - 1/3 * 1/2
Simplify the right side:
y + 1/2 = -1/3x - 1/6
2. Next, move the constant term (1/6) from the right side to the left side of the equation to consolidate the constant terms:
y + 1/2 + 1/6 = -1/3x
Combine the constant terms on the left side:
y + 3/6 + 1/6 = -1/3x
Simplify:
y + 1/2 = -1/3x
3. Now, you want to eliminate the fractions, so multiply the entire equation by the common denominator of 6 to clear the fractions:
6*(y + 1/2) = 6*(-1/3x)
Simplify each term:
6y + 6/2 = -6/3x
Simplify further:
6y + 3 = -2x
4. To isolate the variable, move the constant term (3) from the left side to the right side of the equation:
6y = -2x - 3
5. Finally, divide each term by the coefficient (6) of the variable y to solve for y:
y = (-2x - 3) / 6
Thus, the solution for the equation y + 1/2 = -1/3(x + 1/2) is y = (-2x - 3) / 6.