IF x+y=5 and x-2y=-4 find the value of x and y

x = 2, y = 3

Step-by-step explanation:

x + y = 5

Shift y to the other side and change to (-y).

x = 5 - y  --- Equation 1

x - 2y = -4 --- Equation 2

Substitute x = 5 - y into Equation 2:

x - 2y = -4

5 - y - 2y = -4

Shift 5 to the other side and change to (-5).

-y - 2y = -4 - 5

Evaluate like terms.

-3y = -9

Divide both sides by -3.

y = -9 ÷ -3

y = 3

Substitute y = 3 into Equation 1:

x = 5 - y

x = 5 - 3

x = 2