Question

State whether the equation is true, false or open? 4y+8=6y+3

Answer 1

Answer:

Open

Explanation:

An open equation is an equation that has variables and CAN be solved

Example: 2x = 4 ......> can be solved giving ......> x = 2

A false equation is one where both sides can NEVER be equal

Example: 15 = 2(3) + 1 ..........> 15 can never be equal to 7

A true equation is one having no variables and both sides are ALWAYS equal

Example: 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7

Now, the given equation is:

4y + 8 = 6y + 3

Let's try to solve is:

4y + 8 = 6y + 3

6y - 4y = 8 - 3

2y = 5

y = 2.5

Therefore, the given equation contains a variable and can be solved which means that it is an open equation

Hope this helps :)

Answer 2

4y + 8 = 6y + 3

4y - 6y = 3 - 8

-2y = -5

y = -5/-2

y = 2.5

Hence since the equation has a solution so it is true.