SOLUTION: Solve the system by substitution. y=−6x y=−4x+4 How to put this on desmos?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Solve the system by substitution. y=−6x y=−4x+4 How to put this on desmos?      Log On


   



Question 1204537: Solve the system by substitution.
y=−6x
y=−4x+4
How to put this on desmos?

Found 3 solutions by ankor@dixie-net.com, mananth, math_tutor2020:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system by substitution.
y=−6x
y=−4x+4
replace y with -6x
-6x = -4x + 4
-6x + 4x = 4
-2x = 4
x = 4/-2
x = -2
In the first equation, replace x with -2
y = -6(-2)
y = +12
:
:
Check in 2nd equation, x=-2 and y=12
12 = -4(-2) + 4
12 = +8 + 4
I have no idea what desmos is

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

You can put it on Desmos but important to learn to solve
y=−6x
y=−4x+4
substitute y =-6x in y=−4x+4
-6x = -4x +4
add 4x to both sides
-6x+4x = =-4x+4x+4
-2x = 4
x = 4/-2
x=-2
y=-6x
y= -6*-2
y =12
In Desmos graphing calculator you input both equations in slope-intercept form
-6x for first
and -4x+4
you get the graph
In fact I dont use it




Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

In the Desmos graphing calculator
https://www.desmos.com/calculator
there are input boxes on the left side.
If the boxes are hidden, click on the double arrows to have the boxes show up.
Each box represents a different equation to graph.

Type the equations exactly as given and two lines should show up as indicated here.
https://www.desmos.com/calculator/sjasvdwmmo
The solution to this system is where the two lines cross.
This is at the location (-2, 12)
Click the point of intersection in Desmos to have the coordinates show up.
In some cases, you may have to click more than once.

The solution (-2,12) means x = -2 and y = 12 pair up together.
Let's check these x and y values with the 1st equation.
y = -6x
12 = -6*(-2)
12 = 12
That works out.
Now try the other equation.
y = -4x+4
12 = -4(-2)+4
12 = 8+4
12 = 12
That works too.
Both equations have been shown to be true when plugging in x = -2 and y = 12.
The solution is confirmed algebraically.