Question

Which statement about the solving process when an equation has no solution or infinite solutions is TRUE?
The variable will always end up on the left-hand side of the equation.
The constant terms will always be a multiple of 3.
Collecting the like terms will result in the elimination of the variable.
Gathering the like constant terms will always result in the value 0.

Answers

  2. The statement that is true about the solving process when an equation has no solution or infinite solutions is: “The variable will always end up on the left-hand side of the equation.” Hence, Option A is correct.

    What are infinite solutions?

    Both sides are equivalent in an endless solution. For instance, 12x + 4y – 16 = 6x + 2y – 8 Using a formula or method for infinite solutions, one can simplify the equation and make both sides equal to one another, making it an infinite solution. Infinity is a symbol for boundlessness or infinity. The sign “∞” is typically used to denote it.
    When the lines are parallel and they share the same y-intercept, the system of equations has an infinite number of solutions. If the slope and y-intercept of two lines match, they are in fact the exact same line. The variable, which always appears on the left side of the equation, has infinite solutions.
    Therefore, Option A is correct.
    Learn more about infinite solutions from here:
    #SPJ2

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