Question

Which system has a solution in which the x value is greater than 1?

A coordinate plane showing the graphs of the lines y equals 3 x minus 3, y equals negative one-fourth x plus one, y = 3x+2, and y equals negative two-thirds x
A. y = 3x + 2 and y = 3x - 3
B. y = -2/3 x and y = -1/4 x + 1
C. y = 3x + 2 and y = -1/4 x + 1
D. y = 3x - 3 and y = -1/4 x + 1

Answer 1

A) y = 3x+2 = 3x-3
.................... 2=-3 <-- no solutions

B) y = -2/3 x = -1/4x +1
.... (1/4-2/3) x = 1
......... -5/12 x = 1
................. x = -12/5 <--- Less than 1

C) y = 3x+2 = -1/4x +1
...... (3+1/4) x = -1
........ (13/4) x = -1
................. x = -4/13 <--- Less than 1

D) y = 3x -3 = -1/4 x + 1
...... (3+1/4) x = 4
........ (13/4) x = 4
................. x = 16/13 <-- greater than 1..

Answer 2

is it correct?

Answer 3

yes

Answer 4

thanks...