Table of Contents
Which equation is equivalent to?
In doing this, we haven’t changed the solution set, so 3x + 12 = 7x – 2 and 14 = 4x are equivalent equations. 3. Multiplying or dividing the same number from both sides of a linear equation does not change the solution set….Equivalent Linear Equations.
| x + 2 = 6 | Subtract 2 from both sides. |
|---|---|
| x = 4 | Multiply both sides by 2. |
| 2x = 8 |
How do you solve equivalent problems?
To solve equivalent equations, follow these five steps:
- Step 1 – Use the distributive property, if necessary.
- Step 2 – Combine like terms on the same side of the equal sign, if needed.
- Step 3 – Collect the variable being solved for on the same side of the equation.
How do you calculate K?
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
What is the formula to find the value of a2 – b2?
a 2 − b 2 = (a − b) (a + b) (x + a) (x + b) = x 2 + (a + b) x + ab. (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca.
What is the formula for the equation Ax 2 bx + c?
Important Formulas in Algebra. (a + b + c + …) 2 = a 2 + b 2 + c 2 + … + 2(ab + ac + bc + ….) If α and β are the two roots of the equation ax 2 + bx + c then, α + β = (-b / a) and α × β = (c / a).
What is the formula for algebraic formula?
MATHEMATICAL FORMULAE Algebra MATHEMATICAL FORMULAE Algebra 1. (a+b)2=a2+2ab+b2;a2+b2=(a+b)2−2ab 2.
What are the numbers in algebraic equations?
The numbers are constants. Algebra also includes real numbers, complex numbers, matrices, vectors and much more. X, Y, A, B are the most commonly used letters that represent algebraic problems and equations. (a + b + c + …) 2 = a 2 + b 2 + c 2 + … + 2 (ab + ac + bc + ….)