Question

How many solutions does the system of equations below have? y = –10 7 x + 2 9 y = –10 7 x + 2 9

Answer 1

Answer:

Infinitely many solutions.

Step-by-step explanation:

Given

$y = -\frac{10}{7}x + \frac{2}{9}$

$y = -\frac{10}{7}x + \frac{2}{9}$

Required

Number of solutions

Substitute $y = -\frac{10}{7}x + \frac{2}{9}$ in the second equation

$-\frac{10}{7}x + \frac{2}{9} = -\frac{10}{7}x + \frac{2}{9}$

Add $-\frac{10}{7}x$ to both sides

$\frac{10}{7}x -\frac{10}{7}x + \frac{2}{9} = \frac{10}{7}x -\frac{10}{7}x + \frac{2}{9}$

$\frac{2}{9} = \frac{2}{9}$

The above solution implies that, the equations have infinitely many solutions.