# How do you solve y=x-4, 2y=-x+10 by graphing and classify the system?

The (shared points) point of intersection is at ##(x,y)->(6,2)##.

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The system is of type: first order simultaneous equation system

For each equation:
Select at least 2 values for ##x## and substitute into the equations to determine the corresponding values of y. Draw a line through each point extending it to the edge of the squares on the graph paper.

##color(blue)(“Label all your points and put a title on your graph. Gives you extra”)## ##color(blue)(“marks for good communication.”)##

Equation 1
##y=x-4##

Equation 2
##2y=-x+10″ “color(red)(vec(“divide both sides by 2″))” ” y=-x/2+5##
‘~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The system is a first order simultaneous equation system

Note:
##x->”first order”##
##x^2->”second order“##
##x^3->”third order”##

Solution: The (shared points) point of intersection is at
##(x,y)->(6,2)##. The system is a first order simultaneous equation system

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