10x+5y=500 Solve
Solve for what?
Solve for x intercept
plug in y=0
10x+0=500
x intercept is 50?
To solve the equation 10x + 5y = 500, we need to find the values of x and y that satisfy the equation.
Step 1: Rearrange the equation
To make it easier to solve for one variable, let's rearrange the equation by isolating one of the variables. In this case, we can isolate x by subtracting 5y from both sides of the equation:
10x + 5y = 500
10x = 500 - 5y
Step 2: Solve for x
Divide both sides of the equation by 10 to solve for x:
10x/10 = (500 - 5y)/10
x = (500 - 5y)/10
x = 50 - 0.5y
Step 3: Substitute the value of x in the original equation
Now that we have the value of x in terms of y, we can substitute it back into the original equation to solve for y:
10x + 5y = 500
10(50 - 0.5y) + 5y = 500
Step 4: Simplify and solve for y
Distribute the 10 to the terms inside the parentheses:
500 - 5y + 5y = 500
The y terms cancel out, leaving us with:
500 = 500
Since this equation is always true, it means that the original equation has infinitely many solutions. This means that for any value of y, we can find a corresponding value of x that satisfies the equation.