Question

how many solutions are there to the following equation?
5(x - 3) - 3x = 8x - 15 - 6x
show your work here
no solution
exactly one solution
exactly two solutions
infinitely many solutions
4.
the graph shows the relationship between x, the number of lawns brandon cuts,
and y, his net profit in tens of dollars, after printing flyers for his business. which
equation matches the graph?

Explanation:

Step1: Simplify left side

Expand \(5(x - 3)-3x\): \(5x-15 - 3x=2x - 15\)

Step2: Simplify right side

Combine like terms in \(8x - 15-6x\): \(2x - 15\)

Step3: Compare both sides

Left side \(2x - 15\) equals right side \(2x - 15\). This is an identity, so it holds for all \(x\).

Answer:

infinitely many solutions