Standard
form of an
equation
Ax + By = C
Ax + By = C
-4X+ 1Y = 4X - 5
-4X
-4X + 1Y = -5
Ax + By = C
+ 0.3X + 1 Y = -0.3X + 5.2
+ 0.3X
0.3X + 1Y = 5.2
10 (0.3X + 1Y = 5.2)
3X + 10Y = 52
In standard
form, all of
your numbers
have to be
integer
coefficients
Which
means no
fractions
or
decimals
+ 1.11X + 1.5Y = 3 – 1.11X
+ 1.11X
1.11X + 1.5Y = 3
100 (1.11X + 1.5Y = 3)
111X + 150Y = 300
111X + 150Y = 300
3
37X + 50Y = 100
Now that you have
integer coefficients
you also need to
check and see if the
numbers in your
equation can
reduce
-¾X +1Y = ¾X + 2
-¾X
-¾X + 1Y = 2
4 (-¾X + 1Y = 2)
-3X + 4Y = 8
+3X +1Y = -3X -⁶/₈
+3X
3X + 1Y = -⁶/₈
8 (3X + 1Y = -⁶/₈)
24X + 8Y = -6
24X + 8Y = -6
2
12X + 4Y = -3
-3X -⅖Y + ⅓ = 3X
-3X
-3X - ⅖Y + ⅓ = 0
-⅓ -⅓
-3X - ⅖Y = -⅓
15 (-3X - ⅖Y = -⅓)
-45X - 6Y = -5