look at the equation shown.
-15x + 24+ 16x= 3x - 24
What is a step that can be used to transform the equation into the form, x = a where a is a number, to show that the equation has one solution? Select TWO options that apply.
A.
combine like terms 15x and 16x to get 31x and then subtract 31x from both sides of the equation
B.
subtract 15x from both sides of the equation and then simplify
C.
subtract 24 from both sides of the equation and then simplify
D.
add 3x to both sides of the equation and then simplify
E.
add 24 to both sides of the equation and then simplify
B. subtract 15x from both sides of the equation and then simplify
C. subtract 24 from both sides of the equation and then simplify
The options that can be used to transform the equation into the form x = a where a is a number are:
B. Subtract 15x from both sides of the equation and then simplify.
C. Subtract 24 from both sides of the equation and then simplify.
To transform the given equation into the form x = a, where a is a number, and show that it has one solution, we need to isolate the variable x on one side of the equation.
Option B states to subtract 15x from both sides of the equation. This is a valid step because it helps in removing the term -15x from the left side of the equation.
Option C states to subtract 24 from both sides of the equation. This is also a valid step because it helps eliminate the constant term 24 from the equation.
Therefore, the two correct options that can be used to transform the equation into the desired form are B. subtract 15x from both sides of the equation and then simplify, and C. subtract 24 from both sides of the equation and then simplify.