Maths-
General
Easy

Question

Find the solution of the system of equations.
y equals 3 x squared plus 2 x plus 1
y equals 2 x plus 1

hintHint:

The maximum number of solutions for a two degree polynomial is two. The solutions of a quadratic equation are always written in pairs.
We are asked to solve the equation.

The correct answer is: We are asked to solve the equation.


    Step 1 of 3:
    The LHS of the given set has the same value. So, equate the RHS of the set of equation to eliminate the variable. Thus, we have:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 x squared plus 2 x plus 1 equals 2 x plus 1 space space space space space space end cell row cell 3 x squared plus 2 x minus 2 x plus 1 minus 1 equals 0 end cell row cell 3 x squared equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Step  2 of 3:
    solve the equation,
    3x2 = 0
    x2 = 0
    x equals 0 straight & x equals 0
    That is, the multiplicity of the value is two.
    Step 3 of 3:
    Substitute the value in any of the equation to get the solution of y,
    when x = 0,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 2 x plus 1 space space space end cell row cell y equals 2 left parenthesis 0 right parenthesis plus 1 end cell row cell y equals 1 space space space space space space space space space space space end cell end table
    Thus, the solution of the set of  equation is (0,1).

    A set of equation can be solved by graphing them. The points  where they  intersect are the solutions.

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