Invitation Wording Where Guest Pays For Own Meal

SIMULTANEOUS EQUATIONS

GRAPHIC METHOD

system equations or simultaneous equations

A system of equations is a collection of two or more equations.
Solve a system of two equations with two unknowns is to find the values \u200b\u200bof x and y which are solutions to both equations simultaneously.
Example:

3x + y = 6
3x - 4y = -9

clears and both equations:

Y = 6-3x
Y = +9 +3 x
April 4

After the original equations clears x:

x = 6 - and

x = -9 3 +4 and
March 3

both unknowns are sought for two values \u200b\u200band are resolved equations (we take in this case 0 for both, so that ...) If you clear where y, x is 0, then:

a) y = 6 -3 (0) b) y = 9 / 4 + 3 ( 0) / 4
a) y = 6 b) y = 9 / 4
b) and = 2.25

If we do the same where x is clear:

a) x = 6 / 3 - 0 / 3 b) x = -9 / 3 + 4 (0) / 3
a) x = 6 / 3 b) x = -9 / 3
a) x = 2 b) x = -3

Now we can make our table and then graph. (There are two simple equations, are two lines in the graphs).

1. 2. Xy


0 2.25 -3 0


xy 2 0 0 6


a)
b)
(X, y)

(1, 3) Since the point of coordinates (1, 3)
is common in both the coordinates


this point satisfies both equations.