Question

5. What is the solution for
x + y = 4
x + y = 2
Calculator Use:

Answer 1

No solution

Explanation:

you can solve the system using substitution, so you have to solve for a variable in one equation and substitute in the other.

Solve for y in the first equation:

x + y = 4

y = 4 - x

Now substitute the y in the second equation

x + y = 2

x + (4 - x) = 2

x + 4 - x = 2

4 = 2

the x variable cancel each other, and 4 is not equal to 2, this mean the system doesn't have a solution.