How many solutions does the system of equations below have? y = 3x − 9 y = 3x + (4)/(9) Choices: [[no solution][one solution][infinitely many solutions]]

Slope Analysis: System of equations: y = 3x − 9 y = 3x + (4)/(9) 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 − 9 y = 3x + (4)/(9) Are the y-intercepts same or different? y-intercept of first equation: -9 y-intercept of second equation: (4)/(9) y-intercepts of the equations are different.Number of Solutions: System of equations: y = 3x − 9 y = 3x + (4)/(9) Determine the number of solutions to the system of equations. The system of equations has the same slope but different y-intercepts. The system of equations has no solution because they are parallel lines that never intersect.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does the system of equations below have? $\newline$ $y = 3x - 9$ $\newline$ $y = 3x + \frac{4}{9}$ $\newline$ Choices: $\newline$ (A) $\text{no solution}$ $\newline$ (B) $\text{one solution}$ $\newline$ (C) $\text{infinitely many solutions}$

View step-by-step help

Home

Math Problems

Algebra 2

Find the number of solutions to a system of equations

Full solution

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

\newline

y = 3x - 9

\newline

y = 3x + \frac{4}{9}

\newline

Choices:

\newline

(A)

\text{no solution}

\newline

(B)

\text{one solution}

\newline

(C)

\text{infinitely many solutions}

Slope Analysis: System of equations: $\newline$ $y = 3x − 9$ $\newline$ $y = 3x + \frac{4}{9}$ $\newline$ 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: $\newline$ $y = 3x - 9$ $\newline$ $y = 3x + \frac{4}{9}$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $-9$ $\newline$ y-intercept of second equation: $\frac{4}{9}$ $\newline$ y-intercepts of the equations are different.
Number of Solutions: System of equations: $\newline$ $y = 3x - 9$ $\newline$ $y = 3x + \frac{4}{9}$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ The system of equations has the same slope but different y-intercepts. $\newline$ The system of equations has no solution because they are parallel lines that never intersect.