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How many solutions does the system of equations below have? $\newline$ $y = 10x + 9$ $\newline$ $y = \frac{7}{2}x + \frac{3}{7}$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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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?

\newline

y = 10x + 9

\newline

y = \frac{7}{2}x + \frac{3}{7}

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Slope Comparison: System of equations: $\newline$ $y = 10x + 9$ $\newline$ $y = \frac{7}{2}x + \frac{3}{7}$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $10$ $\newline$ Slope of second equation: $\frac{7}{2}$ $\newline$ Slopes of the equations are different.
Y-Intercept Comparison: System of equations: $\newline$ $y = 10x + 9$ $\newline$ $y = \frac{7}{2}x + \frac{3}{7}$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $9$ $\newline$ y-intercept of second equation: $\frac{3}{7}$ $\newline$ y-intercepts of the equations are different.
Number of Solutions: System of equations: $\newline$ $y = 10x + 9$ $\newline$ $y = \frac{7}{2}x + \frac{3}{7}$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ Since the system of equations has different slopes, they are not parallel and will intersect at exactly one point. $\newline$ The system of equations has $1$ solution.

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How many solutions does the system of equations below have?

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7

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Which describes the system of equations below?

\newline

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y = \frac{1}{7}x - 10

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A teacher purchased

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