How many solutions does this equation have?
6 − 5p − 11p = -14 − 17p
it is a straight line with nonzero slope, so it has to cross the x-axis at exactly one point.
To find the number of solutions for this equation, we need to simplify it and see if there is a unique solution or if there are infinitely many solutions.
Let's simplify the equation step by step:
6 − 5p − 11p = -14 − 17p
Combining like terms on the left side, we get:
6 - 16p = -14 - 17p
Now, let's isolate the p term by moving all other terms to the right side:
-16p + 17p = -14 - 6
Next, perform the operations on both sides:
p = -20
From this simplified equation, we can see that we have found a unique value for p, which is -20. This means that there is only one solution to the equation.
Therefore, the equation has only one solution.