Solve for y. Use the note pad to show your work, then type your equation in the box below.
y−5=3(x−2)
Show your work.
To solve for y, we need to isolate the variable on one side of the equation.
First, distribute the 3 to both terms in the parentheses:
y - 5 = 3*x - 3*2
Next, simplify by multiplying:
y - 5 = 3x - 6
Now, add 5 to both sides of the equation to cancel out the -5 on the left side:
y - 5 + 5 = 3x - 6 + 5
Simplifying further, we have:
y = 3x - 1
So, the equation is:
y = 3x - 1
To solve for y in the equation y - 5 = 3(x - 2), we can use the distributive property to simplify the right side of the equation first.
Expanding the equation:
y - 5 = 3x - 6
Next, we can isolate y by adding 5 to both sides of the equation.
Adding 5 to both sides:
y - 5 + 5 = 3x - 6 + 5
y = 3x - 1
Therefore, the equation is y = 3x - 1.
To solve for y in the equation y - 5 = 3(x - 2), we can follow these steps:
Step 1: Distribute the 3 to the terms inside the parentheses.
y - 5 = 3x - 6
Step 2: Move the constant term (-5) to the right side by adding 5 to both sides.
y - 5 + 5 = 3x - 6 + 5
Simplifying, we get:
y = 3x - 1
Therefore, the equation y = 3x - 1 is the solution to the given equation.