How do you solve #2p+5q=9, 3p-2q=4#?
1 Answer
Apr 8, 2018
Explanation:
#2p + 5q = 9 color(white)(..) ……(1)#
#3p - 2q = 4 color(white)(..) ……(2)#
Multiply equation
#4p + 10q = 18#
#15p - 10q = 20#
Add both the equations
#4p + 10q + 15p - 10q = 18 + 20#
#19p = 38#
#color(blue)(p = 38/19)#
Substitute
#2(38/19) + 5q = 9#
#76/19 + 5q = 9#
#5q = 9 - 76/19#
#5q = (9 × 19/19) - 76/19#
#5q = 171/19 - 76/19#
#5q = (171 - 76)/19#
#5q = 95/19#
#q = 95/(19 × 5) = 95/95#
#color(blue)(q = 1)#