Question

2
subtract C3 x² +sky -) from (8
+sxy -) from (8-9 xy +3 x ² 57
50)​

Answer 1

Step-by-step explanation:

2 - y^2 = 16

x + y = 8

Solve the second equation for x or y. I will solve for x.

x + y = 8

-y = -y subtract y from both sides of equation

x = 8 - y

Now substitute the value of x we just found into the first equation and solve for y.

(8-y)^2 - y^2 = 16

64 -16y +y^2 - y^2 = 16 FOIL the (8-y)^2 and simplify

-16y + 64 = 16 Combine like terms

-y + 4 = 1 Divide each term by 16 to reduce it

-y = -3 Subtract 4 from both sides

y = 3 Divide both sides by the -1

Now substitute the 3 in for y in the original equations and find x.

x + y = 8 or x^2 - y^2 = 16

x + 3 = 8 or x^2 - (3)^2 = 16

x = 5 or x^2 - 9 = 16 so x^2 = 25, so x = 5

If x = 5 and y = 3; then x - y = 5 - 3 which is 2

x - y = 2