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

Sagot :

MrRoyalidn

Answer:

Infinitely many solutions.

Step-by-step explanation:

Given

[tex]y = -\frac{10}{7}x + \frac{2}{9}[/tex]

[tex]y = -\frac{10}{7}x + \frac{2}{9}[/tex]

Required

Number of solutions

Substitute [tex]y = -\frac{10}{7}x + \frac{2}{9}[/tex] in the second equation

[tex]-\frac{10}{7}x + \frac{2}{9} = -\frac{10}{7}x + \frac{2}{9}[/tex]

Add [tex]-\frac{10}{7}x[/tex] to both sides

[tex]\frac{10}{7}x -\frac{10}{7}x + \frac{2}{9} = \frac{10}{7}x -\frac{10}{7}x + \frac{2}{9}[/tex]

[tex]\frac{2}{9} = \frac{2}{9}[/tex]

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

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