Please help me "solve the system"<br /><br />x ^(2) + y = 7 \\ 3x + 7 = 9<br />

Question

Please help me "solve the system"<br /><br />
`x ^(2) + y = 7 \\ 3x + 7 = 9`<br />

Answer 1

Equation 1: x² + y = 7

Equation 2: 3x + 7 = 9

Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".

3x + 7 = 9

3x = 2

x =
`(2)/(3)`

*********************************

x² + y = 7

(
`(2)/(3)`)² + y = 7

`(4)/(9)` + y = 7

y = 7 -
`(4)/(9)`

y =
`(63)/(9)` -
`(4)/(9)`

y =
`(59)/(9)`

Answer: (
`(2)/(3)`,
`(59)/(9)`)