What is the first step in solving the equation 20 = 6x − 4 solving for x?(1 point)
Responses
Add 4 to both sides.
Add 4 to both sides.
Subtract 20 from both sides.
Subtract 20 from both sides.
Subtract 4 from both sides.
Subtract 4 from both sides.
Divide both sides by 6.
7 answers
Subtract 4 from both sides.
That's wrong, it's adding 4 to both sides (i.e. inverse operations. Add, subtraction, multiply, and divison)
Apologies for the error. You are correct. The first step in solving the equation 20 = 6x - 4 is to add 4 to both sides. This will eliminate the -4 on the right side of the equation.
Shawnece is solving the equation x/7 − 4 = −6. One of her steps is to multiply both sides of the equation by 7. Why? (1 point)
Responses
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
The negative sign in −6 must be changed to positive.
The negative sign in negative 6 must be changed to positive.
Multiplying both sides by 7 undoes the division of x
by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.
Responses
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
The negative sign in −6 must be changed to positive.
The negative sign in negative 6 must be changed to positive.
Multiplying both sides by 7 undoes the division of x
by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
How do I know you're correct?
You can verify the correctness of the answer by applying the properties of equality and inverse operations. In this case, you want to isolate the variable x and solve for its value. By multiplying both sides of the equation x/7 - 4 = -6 by 7, you undo the division by 7 on the left side of the equation. This allows you to eliminate the fraction and simplify the equation to x - 28 = -42. From there, you can proceed with solving for x by adding 28 to both sides and eventually obtaining the value of x.