I NEED TO SOLVE FOR Y AND X

im getting rele confused on this. ok here is the prob.

x+y=5
x-2y=-4

equation 1 x+y=5
equation 2 x-2y=-4

Multiply equation 1 by -1.
Add equation 1 to equation 2. The x term cancels. Solve for y.

THEN, put the value of y into either equation and solve for x.

Finally, put the value of x and y into the OTHER equation and see if those values satisfy the equation.

Multiplying Equation 1 by -1 you get:

-x-y=-5

Adding that to equation 2 you get:

-x -y = -5
+ x -2y = -4
-------------------
-3y = -9
Divide both sides by -3 and you get
y=3
Put that back into either equation and you can solve for x
x+y=5
x+3=5
x+3-3=5-3
x=2
So x=2, y=3 should be the solutions.
Check this in the other equation, x-2y=-4
2-2(3) = -4
2-6 = -4 why yes it does! :-)

To solve for x and y in the given system of equations, let's go step by step:

Step 1: Multiply equation 1 by -1
-1(x + y) = -1(5)
-x - y = -5

Now we have the equations:
-x - y = -5 (equation 3)
x - 2y = -4 (equation 2)

Step 2: Add equation 3 to equation 2
(-x - y) + (x - 2y) = -5 + (-4)
-x + x - y - 2y = -9
-3y = -9

Step 3: Solve for y
Divide both sides of the equation by -3:
-3y / -3 = -9 / -3
y = 3

So, we've found that y = 3.

Step 4: Substitute the value of y into either equation 1 or equation 2
Let's use equation 1:
x + 3 = 5

Step 5: Solve for x
Subtract 3 from both sides of the equation:
x = 5 - 3
x = 2

Now we have found that x = 2 and y = 3.

Step 6: Check the solution
Substitute the values of x and y into the other equation (equation 2):
2 - 2(3) = -4

Simplify:
2 - 6 = -4
-4 = -4

Since both sides of the equation are equal, the solution x = 2 and y = 3 satisfies the original system of equations.

Therefore, the solution to the system of equations is x = 2 and y = 3.