Maths-
General
Easy

Question

Find the solution of the system of equations.
y equals negative 5 x squared plus 6 x minus 3
Y = - 4x - 3

hintHint:

Hint:
An equation of the ax2 + 2ax = 0  can be simplified into ( x + 2). This can be further solved by equating it to zero.
We are asked to solve the set of equation.

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


    Step 1 of 3:
    The LHS of the equations have the same value. Thus, we equate the RHS of them:
    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 negative 4 x minus 3 equals negative 5 x squared plus 6 x minus 3 space space space end cell row cell 5 x squared minus 6 x minus 4 x minus 3 plus 3 equals 0 space space space space end cell row cell 5 x squared minus 10 x equals 0 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 for the variable x
    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 5 x squared minus 10 x equals 0 space space space space space space space space space space end cell row cell 5 x left parenthesis x minus 2 right parenthesis equals 0 space space space space space space space space space space space end cell row cell 5 x equals 0 straight & left parenthesis x minus 2 right parenthesis equals 0 space space end cell row cell x equals 0 straight & x equals 2 space space space space space space space space space space space space space end cell end table
    Step 3 of 3:
    Substitute the values of  in any of the equations to get the value 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 negative 4 x minus 3 end cell row cell y equals 0 minus 3 space space space space space space end cell row cell y equals negative 3 space space space space space space space space space end cell end table space
    when x equals 2,
    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 negative 4 x minus 3 space space end cell row cell y equals negative 4 left parenthesis 2 right parenthesis minus 3 end cell row cell y equals negative 8 minus 3 space space space space space end cell row cell y equals negative 11 space space space space space space space space space end cell end table
    Thus, the required solutions  are: (0, -3) and (2,-11)

    A set of equation can also be solved by graphing them. Find the intersecting points of the graph. This would be the solution of the set of equation.

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