Solve the following equation
7q+6=11q+2
Solve for q
7q + 6 = 11q + 2
Group variables
Group our variables 7q and 11q
subtract 11q from both sides
7q + 6 - 11q = 11q + 2 - 11q
Cancel 11q on the right side:
-4q + 6 = 2
Divide each side by 7
| 7q | |
| 7 |
| = |
| 6 |
| 7 |
Group constants
Group our constants 6 and 2.
subtract 6 from both sides
-4q + 6 - 6 = 2 - 6
Cancel 6 on the left side:
-4q = -4
Divide each side of the equation by -4
| -4q | |
| -4 |
| = |
| -4 |
| -4 |
q = 1
Final Answer
q = 1
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?
q = 1
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
