How many solutions does the system of equations below have? y = 3/10x + 5/9 y = –3/10x + 5/9 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Slope Comparison: System of equations: y = 3/10x + 5/9 y = -3/10x + 5/9 Are the slopes same or different? Slope of first equation: 3/10 Slope of second equation: -3/10 Slopes of the equations are different.Y-Intercept Comparison: System of equations: y = 3/10x + 5/9 y = -3/10x + 5/9 Are the y-intercepts same or different? y-intercept of first equation: 5/9 y-intercept of second equation: 5/9 y-intercepts of the equations are the same.Number of Solutions: System of equations: y = 3/10x + 5/9 y = -3/10x + 5/9 Determine the number of solutions to the system of equations. The system of equations has different slopes and the same y-intercept. The system of equations has one solution, where the two lines intersect.

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How many solutions does the system of equations below have? $\newline$ $y = \frac{3}{10}x + \frac{5}{9}$ $\newline$ $y = -\frac{3}{10}x + \frac{5}{9}$ $\newline$ 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 = \frac{3}{10}x + \frac{5}{9}

\newline

y = -\frac{3}{10}x + \frac{5}{9}

\newline

Choices:

\newline

(A)no solution

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(B)one solution

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(C)infinitely many solutions

Slope Comparison: System of equations: $\newline$ $y = \frac{3}{10}x + \frac{5}{9}$ $\newline$ $y = -\frac{3}{10}x + \frac{5}{9}$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $\frac{3}{10}$ $\newline$ Slope of second equation: $-\frac{3}{10}$ $\newline$ Slopes of the equations are different.
Y-Intercept Comparison: System of equations: $\newline$ $y = \frac{3}{10}x + \frac{5}{9}$ $\newline$ $y = -\frac{3}{10}x + \frac{5}{9}$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $\frac{5}{9}$ $\newline$ y-intercept of second equation: $\frac{5}{9}$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = \frac{3}{10}x + \frac{5}{9}$ $\newline$ $y = -\frac{3}{10}x + \frac{5}{9}$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ The system of equations has different slopes and the same $y$ -intercept. $\newline$ The system of equations has $1$ solution, where the two lines intersect.