MATH SOLVE

2 months ago

Q:
# If you end up with 2=-2 when solving a linear equation in one variable, what is the equation called and what is the solution? List two ways to write the answer.

Accepted Solution

A:

Answer:The equation is Inconsistent.The equation has no solution.
Step-by-step explanation:Consider the provided information.If a system of equations has at least one solution then it is called a consistent system. If a system of equations has no solution then it is called a inconsistent system. It is given that you end up with 2=-2 when solving a linear equation in one variable, As we know it is not true because 2≠-2That means there is no solution for the system of equation.Thus, the equation is called inconsistent.For example,
Consider the equation 2x+4 = 2x-4
Divide 2 from both sides, we get
x+2 = x-2
Subtract x from both sides.
2 = -2
Or
Consider the equation 2x+4 = 2x-4Subtract 2 from both sides, we get
2x+2 = 2x-2
Now subtract 2x from both sides.
2 = -2
From this we can conclude that there is no number whose twice is added to 4 is same as twice of the same number added to -4.