Maths-
General
Easy

Question

How many solutions does the given system of equations have?
y=x & y=x2

hintHint:

If the LHS or RHS of two equations are equal, then we could equate them. An equation is a mathematical statement, where we equate two equal expressions.
We are asked to find how many solutions the given equations have.

The correct answer is: We are asked to find how many solutions the given equations have.


    Step 1 of 2:
    The equations are: y equals x straight & y equals x squared
    Here, the LHS of the equations are equal. So, we have:
    x equals x squared.
    Step 2 of 2:
    Solving them, we get:
    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 x minus x squared equals 0 end cell row cell x left parenthesis 1 minus x right parenthesis equals 0 end cell row cell x equals 0 end cell row cell left parenthesis 1 minus x right parenthesis equals 0 end cell row cell 1 equals x end cell end table
    Corresponding to these values, we get: y equals 0 straight & y equals 1
    Thus, we have two solutions for the given set of equations.
     

    We could find the number of solutions for a given set of equations, by analyzing the power of the equation.

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