How are addition and multiplication used to solve a linear equation?

Answer 1

The multiplication is used to solve a liniar equation is when you have for example x/5=10 when you have a number divided by another number you need to multiply both sides with the denominator of x to get the number. In this case the answer is 50. Lets check

50/5=10

10=10 yes its right

Addition is used to answer a linear equation when you have for example this equation:

x-5=20

To get the answer you need to add the opposite o the number adding/subtracing x. In this example it is -5. So when you add the opposite you need to add 5 this will end up with

x=25 lets check

25-5=20. yes its correct

now lets use all the learning so far.

to start lets start with an equation.

x/2-5=10

first we will need to add 5

x/2=15

second we need to divide/multiply

x=30

third you need to check

30/2-5=10

15-5=10

10=10 yes its correct