How many solutions does the system of equations below have? y = –10x + 5/8 y = –10x + 5/8 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Slope Comparison: System of equations: y = –10x + 5/8 y = –10x + 5/8 Are the slopes same or different? Slope of first equation: -10 Slope of second equation: -10 Slopes of the equations are the same.Y-Intercept Comparison: System of equations: y = –10x + 5/8 y = –10x + 5/8 Are the y-intercepts same or different? y-intercept of first equation: 5/8 y-intercept of second equation: 5/8 y-intercepts of the equations are the same.Number of Solutions: System of equations: y = –10x + 5/8 y = –10x + 5/8 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? $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ Choices: $\newline$ (A) no solution $\newline$ (B) one solution $\newline$ (C) infinitely many solutions

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Math Problems

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 = -10x + \frac{5}{8}

\newline

y = -10x + \frac{5}{8}

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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: $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $-10$ $\newline$ Slope of second equation: $-10$ $\newline$ Slopes of the equations are the same.
Y-Intercept Comparison: System of equations: $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $\frac{5}{8}$ $\newline$ y-intercept of second equation: $\frac{5}{8}$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ $y = -10x + \frac{5}{8}$ $\newline$ 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.