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How many solutions does the system of equations below have? $\newline$ $y = 10x + 1$ $\newline$ $y = 10x + 1$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Determine the number of solutions to a system of equations in three variables

Full solution

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

\newline

y = 10x + 1

\newline

y = 10x + 1

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Slope Comparison: System of equations: $\newline$ $y = 10x + 1$ $\newline$ $y = 10x + 1$ $\newline$ 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: $\newline$ $y = 10x + 1$ $\newline$ $y = 10x + 1$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $1$ $\newline$ y-intercept of second equation: $1$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = 10x + 1$ $\newline$ $y = 10x + 1$ $\newline$ 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.

More problems from Determine the number of solutions to a system of equations in three variables

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(1,1)

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\newline

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Which describes the system of equations below?

\newline

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y = –3x + 9

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x = -2

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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

At a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases

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hamburger meals, paying a total of

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\newline

Hot dog meals cost

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Solve the system of equations by substitution.

\newline

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\newline

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Question

Solve the system of equations by elimination.

\newline

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Solve the system of equations.

\newline

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(\_,\_)

\newline

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Solve the system of equations.

\newline

y = -x - 24

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(\_,\_)

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