Question

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

Answer 1

well change the first to
-4x-1=y
-2x+3=y
then you have to cancel out one of the variables
so id multiply the top by -1
4x+1=-y
-2x+3=y and solve like an addition equation
2x+4=0
2x=-4
x=-2
then solve for y

Answer 2

Y is going to equal 7. or -7.

Answer 3

it should just be 7

Answer 4

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

Answer 5

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

Answer 6

Or you could rearrange the first equation to read; y = -4x - 1
We know that y = y so we can now write:
-4x - 1 = -2x + 3 Now just solve for x
-2x = 4
x = -2 you can solve for y by substituting that value for x in either of the two original equations.

Answer 7

well you would do the same steps so
y= -3x+2
y= -2x-4
turn one negative to cancel out
y= -3x+2
-y= 2x+4
x+6=0
x=-6
-3(-6)+2= 20
y=20

Answer 8

Thanks everyone!