Question

What does it mean for a number to be the "solution" to an equation?


Give an example of a variable equation and its solution

Answer 1

Well like x+3=0 and -3 would be the solution

Answer 2

let the eqn be
|x|=2
solution's are -2,2
so it has two solution's
the number values of x is known as no of solutions
x^2-3x+2=0 is an another eqn
here x has two values
that is (x-1)(x-2)=0
so x can be x= 1 or x= 2
so we have 2 solution

Answer 3

To find a "solution" of an equation usually means to find the unknown variable (usually x, a, b, c, etc). You will usually be given with 1 or 2 equations with 1 or 2 unknown variables.
So for example,

if it says to find a solution for this equation: 2x + 4 = 6
it means to find the x

so it would be
2x = 6-4
2x = 2
x = 2

2 would be the solution for x.

at times, you'll be given 2 equations with 2 variables and will be asked to solve for the solution
for ex: if you were given 2x + 2 = 4 and 2b = x
then first, solve for x.
2x = 4-2
2x = 2
x = 1

then solve for b by plugging in x into that other equation.
2b = 1
b = 1/2