Please Help me!!

Question

Solve the system of equations

2x²+5y²=148

4x²-3y²=244

Show your work!

Answer 1

Multiplies first equation by -2:

-4x^2 + -10y^2 = -296

Adds that to the second equation:

-13y^2 = -52

y^2 = 4

y = +or- 2

y=2:

4x^2 - 3(2)^2 = 244

4x^2 - 12 = 244

4x^2 = 256

x^2 = 64

x=+or-8

(8,2) (-8,2)

(8,-2) (-8,-2)