#### Answer

x = 2
y =- $\frac{1}{2}$

#### Work Step by Step

3x - 2y = 7 first equation
6x - 4y = 14 multiply by 2 both sides
5x + 4y = 8 second equation
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11x = 22 add the equations to eliminate y
x = 2 divide both sides by 11
let x = 2 in first equation
$3\times2$ - 2y = 7
6 - 2y = 7
- 2y = 1 subtract 6 from both sides
y = - $\frac{1}{2}$