Solve the following equation
5.50w+50=7.75w+18.50
Solve for w
5.50w + 50 = 7.75w + 18.50
Group variables
Group our variables 5.50w and 7.75w
subtract 7.75w from both sides
5.50w + 50 - 7.75w = 7.75w + 18.5 - 7.75w
Cancel 7.75w on the right side:
-2.25w + 50 = 18.50
Divide each side by 5.50
| 5.50w | |
| 5.50 |
| = |
| 50 |
| 5.50 |
Group constants
Group our constants 50 and 18.50.
subtract 50 from both sides
-2.25w + 50 - 50 = 18.50 - 50
Cancel 50 on the left side:
-2.25w = -31.5
Divide each side of the equation by -2.25
| -2.25w | |
| -2.25 |
| = |
| -31.5 |
| -2.25 |
w = 14
Final Answer
w = 14
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
What is the Answer?
w = 14
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
This calculator has 1 input.
This calculator has 1 input.
What 3 formulas are used for the Equation and Inequalities Calculator?
One Step Equations (Division):
cx = b
x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
What 4 concepts are covered in the Equation and Inequalities Calculator?
- equation
- a statement declaring two mathematical expressions are equal
- equation and inequalities
- unknown
- a number or value we do not know
- variable
- Alphabetic character representing a number
