Please help me with this problem and can you write down the steps.
y-1
____
x+3 = 3/4 (equivalent ratio)
(y-1)/(x+3) = 3/4
4(y-1) = 3(x+3)
4y-4 = 3x+9
3x-4y+13 = 0
Not sure where you want to go with this.
Thank you Steve can you explain what your step are in the problem above you worked for me please.
all I did was clear the fractions, just as you would if you were doing, say,
x/2 = 3/7
7x = 3*2
After that, I just expanded terms and simplified. You never said what you wanted to do with the fractions. Naturally, if y=4 and x=1,
(y-1)/(x+3) = 3/4
To solve the equation:
Step 1: Multiply both sides of the equation by (x+3) to eliminate the denominator on the left side:
(y-1) * (x+3) / (x+3) = (3/4) * (x+3)
Simplifying the left side gives:
y-1 = (3/4) * (x+3)
Step 2: Distribute the (3/4) to both terms in the parentheses on the right side:
y-1 = (3/4) * x + (3/4) * 3
Simplifying the right side gives:
y-1 = (3/4) * x + 9/4
Step 3: Move the -1 term to the right side by adding 1 to both sides of the equation:
y - 1 + 1 = (3/4) * x + 9/4 + 1
This simplifies to:
y = (3/4) * x + 13/4
Therefore, the solution for the equation is y = (3/4)x + 13/4.
Note: The steps explain the process of solving the equation, but it's worth mentioning that the equation provided is a ratio and does not have a unique solution for x and y.