One Method of Solving
5x−3
7
= 1.
What is the current arithmetic operation?
One Method of Solving
5x−3
7
= 1.
What is the current arithmetic operation? Division
One Method of Solving
5x−3
7
= 1.
How do we undo division?
One Method of Solving
5x−3
7
= 1.
How do we undo division? Multiply
One Method of Solving
7·
5x−3
7
5x−3
7
= 1.
= 7 · 1.
How do we undo division? Multiply
Now simplify.
One Method of Solving
5x−3
7
5x−3
7
= 1.
7·
= 7 · 1.
5x − 3 = 7.
One Method of Solving
5x−3
7
5x−3
7
= 1.
7·
= 7 · 1.
5x − 3 = 7.
What is the current arithmetic operation?
One Method of Solving
5x−3
7
5x−3
7
= 1.
7·
= 7 · 1.
5x − 3 = 7.
What is the current arithmetic operation? Subtraction
One Method of Solving
5x−3
7
5x−3
7
= 1.
7·
= 7 · 1.
5x − 3 = 7.
How do we undo subtraction?
One Method of Solving
5x−3
7
5x−3
7
= 1.
7·
= 7 · 1.
5x − 3 = 7.
How do we undo subtraction? Add
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
1.
7 · 1.
7.
How do we undo subtraction? Add
7 + 3. Now simplify.
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
1.
7 · 1.
7.
7 + 3.
10.
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
1.
7 · 1.
7.
7 + 3.
10.
What is the current arithmetic operation?
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
1.
7 · 1.
7.
7 + 3.
10.
What is the current arithmetic operation? Multiplication
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
1.
7 · 1.
7.
7 + 3.
10.
How do we undo multiplication?
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
1.
7 · 1.
7.
7 + 3.
10.
How do we undo multiplication? Divide
One Method of Solving
5x−3
7
5x−3
7
=
7·
=
5x − 3 =
5x − 3 + 3 =
5x =
5x
=
5
1.
7 · 1.
7.
7 + 3.
10.
How do we undo multiplication? Divide
10
Now simplify.
5.
One Method of Solving
5x−3
7
5x−3
7
7·
5x − 3
5x − 3 + 3
5x
5x
5
x
=
=
=
=
=
=
=
1.
7 · 1.
7.
7 + 3.
10.
10
5.
2.
One Method of Solving
1. Identify the primary (last) arithmetic operation.
One Method of Solving
1. Identify the primary (last) arithmetic operation.
2. Perform the opposite operation to both sides of the equation.
One Method of Solving
1. Identify the primary (last) arithmetic operation.
2. Perform the opposite operation to both sides of the equation.
3. Simplify.
One Method of Solving
1. Identify the primary (last) arithmetic operation.
2. Perform the opposite operation to both sides of the equation.
3. Simplify.
4. Repeat these steps.