How do you solve the following system: x - 3y = -1 , 4x+y=-7 ?

2 Answers
Apr 8, 2018

x=-22/13
y= -9/39

Explanation:

x - 3y = -1
3(4x + y = -7)

x-3y = -1
12x+3y = -21

13x = -22
x = (-22/13)

(-22/13) - 3y = -1
-1 + 22/13 = -3y
(-13+22)/13 = -3y
9/13 *1/-3 = y
y= -(9/39)

Apr 8, 2018

x=-22/13
y=-3/13

Explanation:

x-3y=-1 --- (1)
4x+y=-7 --- (2)

From (1),

x=3y-1 --- (3)

Sub (3) into (2)

4(3y-1)+y=-7
12y-4+y=-7
13y=-3
y=-3/13 --- (4)

Sub (4) into (3)

x=3(-3/13)-1
x=-22/13