#### Answer

x = 1
y = -1

#### Work Step by Step

4x - 3y = 7 first equation
7x + 5y = 2 second equation
multiply by 5 first equation and multiply by 3 the second equation and add the equation to eleminate y
20x - 15y = 35
21x + 15y =6
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41x = 41
x = 1 divide both sides by 41
let x = 1 in first equation
$4\times1$ - 3y = 7
4 - 3y = 7
-3y = 3 subtract from -4 both sides
y = -1 divide both sides by -3