Solve the following equation
0.2p+6.8=0.3p+4.7
Solve for p
0.2p + 6.8 = 0.3p + 4.7
Group variables
Group our variables 0.2p and 0.3p
subtract 0.3p from both sides
0.2p + 6.8 - 0.3p = 0.3p + 4.7 - 0.3p
Cancel 0.3p on the right side:
-0.1p + 6.8 = 4.7
Divide each side by 0.2
Group constants
Group our constants 6.8 and 4.7.
subtract 6.8 from both sides
-0.1p + 6.8 - 6.8 = 4.7 - 6.8
Cancel 6.8 on the left side:
-0.1p = -2.1
Divide each side of the equation by -0.1
p = 21
Final Answer
p = 21
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
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.
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
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