olve the following system of equations:   2𝑥+4𝑦=16   −3𝑥+3𝑦=−6     𝑥= 𝑦 =

To solve the system of equations:

2x + 4y = 16 -3x + 3y = -6

First, simplify the equations if possible. The first equation can be simplified by dividing the entire equation by 2:

x + 2y = 8

The second equation can be simplified by dividing the entire equation by 3:

-x + y = -2

Now, the system of equations is:

x + 2y = 8 -x + y = -2

Next, add the two equations together:

x + 2y - x + y = 8 - 2 3y = 6

Solve for y by dividing both sides by 3:

y = 2

Substitute y = 2 into the first equation:

x + 2*2 = 8 x + 4 = 8 x = 8 - 4 x = 4

So, the solution to the system of equations is x = 4 and y = 2.