Question

Solve this with systems of equations

3y-4x=19, -3y 8x=1

Answer 1

To solve the system of equations given, add both equations to eliminate the y terms and find x = 5. Then, substitute x into either of the original equations to find y = 13.

Step-by-step explanation:

To solve the system of equations 3y - 4x = 19 and -3y + 8x = 1, we can use the method of addition. First, we need to align the equations vertically and simply add them, as they are setup in a way that the y terms will cancel each other out.

3y - 4x = 19
-3y + 8x = 1

Add both equations:

0y + 4x = 20

Now, we solve for x:

4x = 20
x = 5

Next, substitute this value of x into one of the original equations to find y.

We will use the first equation:

3y - 4(5) = 19
3y - 20 = 19
3y = 39
y = 13

The solution to the system of equations is x = 5 and y = 13.