Question

How many solutions are there to the equation 7m = 49?

Answer 1

Hi there! :)

Answer:

m=7

*The answer must have a positive sign.*

Explanation:

This lesson it's about the solving one-step equations: multiplication and division.

You can use inverse operations to solve an equation.

Definition

Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a÷c=b÷c for c≠0

First, you had to do is divide by 7 from both sides.

`(7m)/(7)=(49)/(7)`

And then, you simplify or solve equation.

`49/7=7`

`7*7=49`

`m=7`

Hope this helps!

-Charlie

Thanks!

:)

Answer 2

Hello!

To find the number of solutions this equation has, we need to solve it using algebra.

We use SADMEP to solve any algebraic equation, not for anything else. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses.

The term 7m is also 7 times m, which means we will divide both sides by 7.

7m = 49

m = 7

Now, the equation is fully simplified. This equation means that to make the original equation true, m must be equal to 7.

Therefore, there is only ONE SOLUTION to the given equation because there is only one number that allows the original equation to be true.