Question

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9​

Answer 1

5(x - 3) +6 = 5x - 9​ has infinitely many solutions

Solution:

Given equation is 5(x - 3) +6 = 5x - 9​

We have to find whether the given equation has one, zero, or infinitely many solutions

Let us solve the given equation

5(x - 3) + 6 = 5x - 9​

Let us use BODMAS rule to solve the given equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

So let us first solve for brackets in given equation

5x - 15 + 6 = 5x - 9

5x - 9 = 5x - 9

0 = 0

Since the statement is true, there are infinitely many solutions