The values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
What is equation?
Equation is relationship between two or more variables that are expressed in equal to form.Equations of two variables look like ax+by=c.It may be linear equation, quadratic equation,cubic equation.
How to solve the equation?
We have been given two equations as y=[tex]x^{2}[/tex]-3x+6 and y=2x+6 and we are required to solve the equations for the value of x.
Putting the value of y from second equation in first equation.
2x+6=[tex]x^{2}[/tex]-3x+6
Cancellng 6 from both sides.
[tex]x^{2}[/tex]-5x=0
x(x-5)=0
x=0,x-5=0
x=0,x=5
Putting the values of x in second equation to get the value of y.
y=2x+6
y=2(5)+6
=10+6
y=16
y=2x+6
y=2*0+6
=6
Points will be (0,6),(5,16).
Hence the values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
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