Karan needs to choose between two gym plans. he can either pay a \$150$150dollar sign, 150 joining fee and a \$10$10dollar sign, 10 monthly fee, or he can pay a \$50$50dollar sign, 50 joining fee and a \$30$30dollar sign, 30 monthly fee. on what month will the cumulative costs of the plans be equal, and what will those total costs be?

450 is the final answer! : )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions