Answer check! 20 points.

an equation is shown below:

5(2x – 3) = 5

part a: how many solutions does this equation have?
part b: what are the solutions to this equation? show your work.

5(2x – 3) = 5
divide both sides by 5:

5(2x – 3) = 5

5 5

simplify:
2x - 3 = 1

add three to both sides:
2x - 3 + 3 = 1 + 3

simplify:

2x = 4

divide both sides by two:

2x = 4

2 2

solution:

1 = x

there is only one solution for this equation!

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

they used 313 gallons of paint

the one below it is a function

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)