Solve the following equation
-y+2+10y-9-6>=-3+4y+40-8y
Solve for y
-y + 2 + 10y - 9 - 6 ≥ - 3 + 4y + 40 - 8y
Group the y terms on the left:
(-1 + 10)y = 9y
Group the constants on the left
2 - 9 - 6 = -13
Group the y terms on the right:
(4 - 8)y = -4y
Group the constants on the right:
-3 + 40 = 37
Form modified inequality
9y - 13 ≥ - 4y + 37
Group variables
Group our variables 9y and -4y
add 4y to both sides
9y - 13 + 4y ≥ -4y + 37 + 4y
Cancel -4y on the right side:
13y - 13 ≥ 37
Group constants
Group our constants -13 and 37.
add 13 to both sides
13y - 13 + 13 ≥ 37 + 13
Cancel 13 on the left side:
13y ≥ 50
Divide each side of the inequality by 13
| 13y | |
| 13 |
| ≥ |
| 50 |
| 13 |
y ≥ 3.8461538461538
Final Answer
y ≥ 3.8461538461538
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?
y ≥ 3.8461538461538
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
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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
