Question

Addition of two equations calculator: To add two equations, ___________.

A. Combine like terms on both sides
B. Subtract one equation from the other
C. Multiply each term by a common factor
D. Divide each term by a constant

Answer 1

To add two equations, you combine like terms on both sides, ensuring to correctly add or subtract the variables and constants from each equation.

Step-by-step explanation:

To add two equations, the correct approach is A. Combine like terms on both sides. This means that you check for and sum up the terms with the same variables and exponents on both sides of the equation. For instance, if you have two equations, 2x + 3y = 8 and 4x - 5y = 10, you would add 2x to 4x and 3y to -5y, which would give you 6x - 2y as the combined left-hand side of the equation, and then add the numbers 8 and 10 to get 18 as the combined right-hand side of the equation, giving you a new equation: 6x - 2y = 18.

Multiplication or division by the same number on both sides of an equation doesn't change the equality. It's necessary to multiply or divide every term on both sides of the equality. When adding fractions, it is crucial to have a common denominator and add only the numerators, not the denominators. Manipulating equations effectively requires these fundamental arithmetic skills.

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