We will solve the system of equations:
4 x + 3 y = 5
2 x - 5 y = - 17 / * ( - 2 ) / We will multiply both sides of an equation by - 2.
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4 x + 3 y = 5
+
- 4 x + 10 y = 34
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13 y = 39
y = 39 : 13
y = 3
4 x + 3 * 3 = 5
4 x + 9 = 5
4 x = 5 - 9
4 x = - 4
x = - 4 : 4
x = - 1
Answer: x = - 1, y = 3.