Question

$x^{2} + 2y {}^{2} = 6 \\ 2x { }+ {2}y {}^{2} = 6$
what is x and y​

Answer 1

Answer

x=2

y=1

This is my short answer....

Answer 2

$if \: {x}^{2} + 2 {y}^{2} = 6 \: and \: 2x + 2 {y}^{2} = 6 \\ then \: we \: can \: write \: {x}^{2} + 2 {y}^{2} = 2x + 2 {y }^{2} \\ as \: 2 {y}^{2} \: cancels \: {x}^{2} = 2x \\ x = 2 \\ insert \: it \: in \: first \: equation \\ 4 + 2 {y}^{2} = 6 \\ 2 {y}^{2} = 2 \\ {y}^{2} = 1 \\ y = 1 \\ \\ \\ \\ and \: finally \: the \: answer \: is \: x = 2 \: and \: y = 1$