Solve the system by graphing.If the system is inconsistent and has no solution,state this .If the system is dependent,write the form of the solution for any real number x. 4x+2y=-8 y=3/4+7
bring this to standard form, to graph it: 4x+2y=-8
Ok let walk it together ...My problem is on how to graph
Here is my solution now I need you to finish it for me 4x+2y=-8 y=(3/4)x+7 Now we rewrite as 4x+2y=-8 (3/4)x-y=-7 Divide the first equation by 2 and have 2x +y=-4 (3/4)x-y=-7 Add and get (2 3/4)x=-11 or (11/4)x=-11 or x=-4 and -16+2y=-8 gives y=4 (3/4)(-4)-4=-7
it is easier to bring the equations to standard form if you need to graph them
So can you help out and also graph then I will give medal
4x+2y=-8 try to bring this to standard form y=
y=-4
4x + 2y = -8 2y = -8 - 4x y = -4 -2x
ok? :)
is that the final solution
we now have two equations y = -4 -2x y=3/4+7
we can graph them now
Can you graph it
yes wait a sec
y=3/4x+7 <- 3/4 is x , ri ght?
yes
ok
do you know y=3/4x+7 what each part of the standard form say about the line?
No
ok, the number with no x is the shift upwards from the origin: y=x+3|dw:1381246634077:dw|
its called y-intercept "c" :)
so is this solution inconsistent and has no solution or dependent
we know if we draw both lines the x term is the slope or height of the line:|dw:1381246779456:dw|
ok?
Join our real-time social learning platform and learn together with your friends!