What value of b will cause the system to have a infinite number of solutions? #y=6x - b# and #-3x + 1/2y= -4# Choices: #2#, #4#, #6#, #8#
1 Answer
Jun 14, 2018
Explanation:
#"assuming the equations are"#
#y=6x-bto(1)#
#-3x+1/2y=-4to(2)#
#"for the system to have an infinite number of solutions"#
#"they must be equal to each other"#
#"multiply all terms in equation "(2)" by2"#
#-6x+y=-8#
#"add "6x" to both sides"#
#y=6x-8#
#"for this to be equal to equation "(1)#
#"we require "b=8#
