How many solutions does the system of equations below have? y = –9x − 6 y = –9x − 6 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Slope Analysis: System of equations: y = –9x − 6 y = –9x − 6 Are the slopes same or different? Slope of first equation: -9 Slope of second equation: -9 Slopes of the equations are the same.Y-Intercept Comparison: System of equations: y = –9x − 6 y = –9x − 6 Are the y-intercepts same or different? y-intercept of first equation: -6 y-intercept of second equation: -6 y-intercepts of the equations are the same.Number of Solutions: System of equations: y = –9x − 6 y = –9x − 6 Determine the number of solutions to the system of equations. The system of equations has the same slope and the same y-intercept. The system of equations has infinitely many solutions.

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How many solutions does the system of equations below have? $\newline$ $y = -9x - 6$ $\newline$ $y = -9x - 6$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Algebra 1

Find the number of solutions to a system of equations

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Q. How many solutions does the system of equations below have?

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y = -9x - 6

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y = -9x - 6

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Slope Analysis: System of equations: $\newline$ $y = -9x - 6$ $\newline$ $y = -9x - 6$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $-9$ $\newline$ Slope of second equation: $-9$ $\newline$ Slopes of the equations are the same.
Y-Intercept Comparison: System of equations: $\newline$ $y = -9x - 6$ $\newline$ $y = -9x - 6$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $-6$ $\newline$ y-intercept of second equation: $-6$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = -9x - 6$ $\newline$ $y = -9x - 6$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ The system of equations has the same slope and the same $y$ -intercept. $\newline$ The system of equations has infinitely many solutions.