8) Given the system of equations: a) 4x-5y 20 c) y = 3x - 2 3x-y = 2 b) 3x + 2y = 6 4 %3D y = -2x +3 i)find the slope and y-intercept of each line and determine whether ii) there is one solution, no solution or infinitely many solutions. iii) the graph is two intersecting lines, two parallel lines, or the same line.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I need help solving number 8

**Given the system of equations:**

a) 
\[ 4x - 5y = 20 \]
\[ y = \frac{4}{5}x + 1 \]

b) 
\[ 3x + 2y = 6 \]
\[ y = -2x + 3 \]

c) 
\[ y = 3x - 2 \]
\[ 3x - y = 2 \]

i) Find the slope and y-intercept of each line and determine whether there is one solution, no solution, or infinitely many solutions.

ii) Determine if the graph represents two intersecting lines, two parallel lines, or the same line.

9) Solve the system of equations using substitution. Check your answer. If there are infinitely many solutions, give the form of the solution.
Transcribed Image Text:**Given the system of equations:** a) \[ 4x - 5y = 20 \] \[ y = \frac{4}{5}x + 1 \] b) \[ 3x + 2y = 6 \] \[ y = -2x + 3 \] c) \[ y = 3x - 2 \] \[ 3x - y = 2 \] i) Find the slope and y-intercept of each line and determine whether there is one solution, no solution, or infinitely many solutions. ii) Determine if the graph represents two intersecting lines, two parallel lines, or the same line. 9) Solve the system of equations using substitution. Check your answer. If there are infinitely many solutions, give the form of the solution.
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