2x² + y² = 18

xy = 4

See the "step by step explanation" for better understanding.

Step-by-step explanation:

Let's solve for x.

2x2+y2=18

Step 1: Add - y^2 to both sides.

2x2+y2+-y2=18+-y2

2x2=-y2+18

Step 2: Divide both sides by 2.

2x22=-y2+182

x2=-12y2+9

Step 3: Take square root.

x=√-12y2+9 or x=-√-12y2+9

Answer:

x=√-12y2+9 or x=-√-12y2+9