Can someone please help explain this, my notes aren't helping me much.

Given the following system of linear equations:

{x-4y=20
-3x+4y=-12

The solution to the system is:

The system is:

The equation is:

Please help

x-4y = 20

-3x+4y = -12

add them together and you get

-2x = 8
x = -4

Now use that to get y.

do you plug it into the first equation or the second?

i got it thanks

Sure, I'd be happy to help you understand this system of linear equations!

First, let's rewrite the given system of equations:

1) x - 4y = 20
2) -3x + 4y = -12

The system involves two equations, and we have to find a solution that satisfies both equations simultaneously.

One way to solve this system is by the method of elimination. The goal is to eliminate one variable so that we can solve for the other variable.

In this case, if we add equation (1) and equation (2), we can eliminate the variable 'y':

(x - 4y) + (-3x + 4y) = 20 + (-12)

This simplifies to:

-2x = 8

Now we can solve for 'x' by dividing both sides of the equation by -2:

x = -4

To find the value of 'y', we substitute the value of 'x' (-4) into either of the original equations. Let's use equation (1):

-4 - 4y = 20

To solve for 'y', we isolate the variable by subtracting -4 from both sides:

-4y = 24

We can further simplify this equation by dividing both sides by -4:

y = -6

So the solution to the system of linear equations is x = -4 and y = -6.

To summarize:

The system of linear equations is:
1) x - 4y = 20
2) -3x + 4y = -12

The solution to the system is:
x = -4
y = -6