Question

what is the solution of this linear system? 4x+y=-1, y=-2x+3

Answer 1

y = -2x + 3
now sub -2x + 3 in for y in the other equation
4x + y = -1
4x + (-2x + 3) = -1
4x - 2x + 3 = -1 -- subtract 3 from both sides
4x - 2x = -1 - 3 -- combine like terms
2x = -4
x = -2
now sub -2 in for x in either equation to find y
y = -2x + 3
y = -2(-2) + 3
y = 4 + 3
y = 7
check...
4x + y = -1
4(-2) + 7 = -1
-8 + 7 = -1
-1 = -1 (correct)

x = -2 and y = 7 or (-2,7)

Answer 2

thanks

Answer 3

anytime :)