solve for y:
1. 3x+2xy=10
2. 1/3x-3/4y=6
So you add like terms (3x+2x=5x)
1.5xy=10
then you get y by itself
1.y=10/5x
for 2 you have to bring x to the other side.
2.-3/4y=6-1/3x --> then divide
y=-8+4/9
u have to: 3x + 2xy = 10
(-3x) + 3x + 2xy = 10 - 3x
2xy = 10 - 3x
divide by 2x: 2xy/2x = 10/2x - 3x/2x
answer y = 5x - 1.5
To solve for y in each equation, we can use basic algebraic techniques to isolate the variable y.
1. 3x + 2xy = 10:
Step 1: Start by grouping the terms with y together.
2xy = 10 - 3x
Step 2: Divide both sides of the equation by 2x to isolate y.
y = (10 - 3x) / (2x)
Therefore, the solution for y in this equation is y = (10 - 3x) / (2x).
2. 1/3x - 3/4y = 6:
Step 1: Start by moving the term with y to the other side of the equation.
-3/4y = -6 - 1/3x
Step 2: Simplify the right side of the equation.
-3/4y = (-18x - 4) / 6
Step 3: Multiply both sides by -4/3 to isolate y.
y = (-18x - 4) / (6 * (-4/3))
Step 4: Simplify the right side of the equation.
y = (-18x - 4) / (-8)
Therefore, the solution for y in this equation is y = (-18x - 4) / -8, which can be further simplified if required.