Learn Questions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5

No solution, Infinite solutions, One solution, Two solutions

**Solution:**

y = -3.5x - 3.5 and y = -3.5x + 3.5 [Given]

To find the number of solutions, we should check the equality of ratios

By rearranging both

y + 3.5x + 3.5 = 0

y + 3.5x - 3.5 = 0

Ratio of coefficients of variable y

= 1/1 = 1

Ratio of coefficients of variable x

= 3.5/3.5 = 1

So the ratio of constants

= 3.5/-3.5 = -1

We know that

**Ratio of coefficients of variable y = Ratio of coefficients of variable x ≠ Ratio of constants**

**It means that both equations contain same slope and are parallel**

**When this is true, there is no solution for the system of equations**

## How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5

No solution, Infinite solutions, One solution, Two solutions

**Summary:**

The system of equations y = -3.5x - 3.5 and y = -3.5x + 3.5 have no solution.

Math worksheets and

visual curriculum

visual curriculum