How many solutions does the system of equations below have? y = –3x + 10 y = –3x + 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Slope Comparison: System of equations: y = –3x + 10 y = –3x + 10 Are the slopes same or different? Slope of first equation: -3 Slope of second equation: -3 Slopes of the equations are the same.Y-Intercept Comparison: System of equations: y = –3x + 10 y = –3x + 10 Are the y-intercepts same or different? y-intercept of first equation: 10 y-intercept of second equation: 10 y-intercepts of the equations are the same.Number of Solutions: System of equations: y = –3x + 10 y = –3x + 10 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? $\newline$ $y = -3x + 10$ $\newline$ $y = -3x + 10$ $\newline$ 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 = -3x + 10

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y = -3x + 10

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Choices:

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(A) no solution

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(B) one solution

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Slope Comparison: System of equations: $\newline$ $y = -3x + 10$ $\newline$ $y = -3x + 10$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $-3$ $\newline$ Slope of second equation: $-3$ $\newline$ Slopes of the equations are the same.
Y-Intercept Comparison: System of equations: $\newline$ $y = -3x + 10$ $\newline$ $y = -3x + 10$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $10$ $\newline$ y-intercept of second equation: $10$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = -3x + 10$ $\newline$ $y = -3x + 10$ $\newline$ 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.