Question

How many solutions will the system below have?

Answer 1

Answer:

No solution

Explanation:

Given

$\large y=\frac{1}{2}x+2$

$\large y=\frac{1}{2}x+4$

Required

Determine the number of equation

To get the number of equations, we simply equate both expression of y

$y = y$

This implies:

$\frac{1}{2}x+4 = \frac{1}{2}x+2$

Collect Like Terms

$4-2 = \frac{1}{2}x-\frac{1}{2}x$

$2 = 0$

Since both sides of the equation are not equal; then the system has no solution.