A system of equation may have one, zero or infinitely many solutions
The system of equation has no solutions
The systems of equation are given as:
[tex]y = -6x - 5[/tex]
[tex]-2y +7 = 12x[/tex]
Substitute -6x - 5 for y in [tex]-2y +7 = 12x[/tex]
[tex]-2(-6x - 5) +7 = 12x[/tex]
Open brackets
[tex]12x + 10 +7 = 12x[/tex]
[tex]12x + 17 = 12x[/tex]
Subtract 12x from both sides of the equation
[tex]17 = 0[/tex]
The above equation is not true i.e.[tex]17 \ne 0[/tex]
Hence, the system of equation has no solutions
Read more about solutions of equations at:
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