Solving 2 step equations

and the quick check-

1,(B) x=9
2,(A) r=45
3,(D) m=7
4,(B) b/2-4=9;b=$26
5.(C) 3h+5=11;h=2
this again is for the quick check-yes the answers are correct-

I can help-

for Lesson 7: Solving Equations with Two Steps
Math 6 B Unit 6: Graphing, Equations, and Inequalities PRACTICE!
1. 4 hours
2. 9 days
3. 6 pounds
4. $40.00
5. 6 people
they are correct ;)

4 years and still not answered-

ANSWERSSSSSSSS

YES
TYSM
THE ANSWERS ARE RIGHT!

no problem :)

um, Anonymous do you mean 3 years?

TYSM-

@First Name here...
I promise you that I am not stealing your work I am reviewing my work- thanks again :)

Solving two-step equations is a fundamental skill in algebra. To solve a two-step equation, you need to follow a structured process. Let's go through the steps:

Step 1: Simplify the equation
Begin by simplifying both sides of the equation as much as possible. Combine like terms, distribute any coefficients, and eliminate any parentheses.

Step 2: Isolate the variable term
Next, aim to isolate the variable term (the term containing the variable) on one side of the equation. To do this, you'll need to undo any addition, subtraction, multiplication, or division that is applied to the variable.

If the variable term is being added or subtracted, use the opposite operation to cancel it out. For example, if you have "x + 5 = 10", you would subtract 5 from both sides: "x = 10 - 5".

If the variable term is being multiplied or divided, use the opposite operation to undo it. For example, if you have "3x = 12", you would divide both sides by 3 to isolate the x: "x = 12 / 3".

Step 3: Check your solution
After you have isolated the variable, double-check your solution by substituting it back into the original equation. If both sides of the equation are equal, then your solution is correct. If not, retrace your steps and check for any mistakes.

Remember to always perform the same operation to both sides of the equation to maintain equality.

Now, let's work through an example:

Example: Solve the equation 3x + 7 = 16

Step 1: Simplify the equation
3x + 7 = 16

Step 2: Isolate the variable term
Subtract 7 from both sides:
3x = 16 - 7
3x = 9

Next, divide both sides by 3:
x = 9 / 3
x = 3

Step 3: Check your solution
Substitute the value of x back into the original equation:
3(3) + 7 = 16
9 + 7 = 16
16 = 16 (both sides are equal)

Therefore, the solution to the equation is x = 3.

Remember, practice is essential to reinforce your understanding of solving two-step equations.

https://www.mathsisfun.com/definitions/two-step-equation.html