Writing Linear Equations in
Standard Form
Algebra II
T. Banks
Example 1
Ax + By = C
y = 3x – 5
-3x
-3x
Given
Subtract 3x from both sides
-3x + y = -5
-1(-3x + y = -5)
Multiply both sides by -1
to make A positive
3x – y = 5
Standard Form
Ax + By = C
4x = 10y + 6
-10y
-10y
Example 2
Given
Subtract 10y from both sides
4x - 10y = 6
Standard Form
Ax + By = C
ଶ
y= x+1
ଷ
ଶ
- x
ଷ
-
ଶ
x
ଷ
Given
ଶ
Subtract x from each side
ଷ
ଶ
- x
ଷ
ଶ
-3(- x
ଷ
Example 3
+y=1
+ y = 1)
Multiply both sides by -3 to
get rid of both the
Denominator and the
negative A
2x - 3y = -3
Standard Form