Question

Please help algebra 2 question!?

Answer 1

A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard would be able to eat the entire population. The equation is 3x = 5x − 1.

Explain to the biologist how she can solve this on a graph using a system of equations

Answer 2

Simplifying
5x + -1 = 3x + 1

Reorder the terms:
-1 + 5x = 3x + 1

Reorder the terms:
-1 + 5x = 1 + 3x

Solving
-1 + 5x = 1 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-1 + 5x + -3x = 1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-1 + 2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 2x = 1 + 0
-1 + 2x = 1

Add '1' to each side of the equation.
-1 + 1 + 2x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 1 + 1
2x = 1 + 1

Combine like terms: 1 + 1 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1