rewite the equation 3x+5y=7 so that y is a function of x
5y = -3x + 7
y = -(3/5)x + 7/5
To rewrite the equation 3x + 5y = 7 so that y is a function of x, we need to isolate y on one side of the equation.
Step 1: Start with the given equation: 3x + 5y = 7
Step 2: Subtract 3x from both sides of the equation to isolate 5y:
3x + 5y - 3x = 7 - 3x
Simplifying the left side of the equation:
5y = 7 - 3x
Step 3: Divide both sides of the equation by 5 to solve for y:
(5y)/5 = (7 - 3x)/5
Simplifying the equation:
y = (7 - 3x)/5
Therefore, the rewritten equation where y is a function of x is:
y = (7 - 3x)/5
To rewrite the equation 3x + 5y = 7 so that y is a function of x, we need to isolate the variable y on one side.
Step 1: Start with the equation 3x + 5y = 7.
Step 2: Subtract 3x from both sides of the equation to eliminate the x term.
3x + 5y - 3x = 7 - 3x
Simplifying, we get:
5y = 7 - 3x
Step 3: Divide both sides of the equation by 5 to solve for y.
(5y)/5 = (7 - 3x)/5
Simplifying, we obtain:
y = (7 - 3x)/5
Therefore, the equation, rewritten with y as a function of x, is:
y = (7 - 3x)/5