1. solve 2x + y = 7 for y
2. solve 2y - 18x = 26 for y
3. solve 20x + 5y =15 for y
4. solve 9x - y = 45 for y
5. solve 6x - 3y = -6 for y
6. solve 4x - 5 = 7 + 4y for y
To solve these equations for y, we need to isolate the variable y on one side of the equation. Here's how we can do that for each equation:
1. solve 2x + y = 7 for y:
Subtract 2x from both sides of the equation:
y = 7 - 2x
2. solve 2y - 18x = 26 for y:
Add 18x to both sides of the equation:
2y = 18x + 26
Divide both sides of the equation by 2:
y = (18x + 26)/2
Simplify if necessary.
3. solve 20x + 5y =15 for y:
Subtract 20x from both sides of the equation:
5y = 15 - 20x
Divide both sides of the equation by 5:
y = (15 - 20x)/5
Simplify if necessary.
4. solve 9x - y = 45 for y:
Add y to both sides of the equation:
9x = y + 45
Subtract 45 from both sides of the equation:
9x - 45 = y
Rearrange if necessary.
5. solve 6x - 3y = -6 for y:
Subtract 6x from both sides of the equation:
-3y = -6 - 6x
Divide both sides of the equation by -3:
y = (-6 - 6x)/-3
Simplify if necessary.
6. solve 4x - 5 = 7 + 4y for y:
Subtract 7 from both sides of the equation:
4x - 12 = 4y
Divide both sides of the equation by 4:
(4x - 12)/4 = y
Simplify if necessary.
These are the steps you can follow to solve each of the given equations for y.
1. 2x + 7
There -- I've done two problems for you; now it's your turn.
I'll be glad to check your answers.\\