Question

Solve each system using substitution or elimination:
y у - x = 5
3y=3x + 15

Answer 1

Infinitely many solutions

Explanation:

Let's use substitution to solve this system of equations.

From the 2nd equation,

3y = 3x + 15

Divide both sides by 3,

y = x + 5

Substituting this into the firt equation, we get:

(x + 5) - x = 5

x + 5 - x = 5

5 = 5

The equation 5 = 5 is always true, which means the system of equations is consistent and dependent.

In this case, the two equations represent the same line. There are infinitely many solutions where the two lines overlap.