Answer:
x = 5
y = -2
Step-by-step explanation:
Let's solve the system of equations, this way:
-5y + 6x = 40
3y - 8x = -46
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-5y + 6x = 40
6x = 40 + 5y
x = (40 + 5y)/6
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Substituting x and solving for y in the 2nd equation:
3y - 8x = - 46
3y - 8 * [(40 + 5y)/6] = - 46
3y - (320 + 40y)/6 = - 46
18y - 320 - 40y = - 276 (Multiplying by 6 at both sides)
-22y = - 276 + 320 (Adding 320 at both sides)
-22y = 44
y = -44/22
y = -2
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Solving for x in the 1st equation:
-5y + 6x = 40
-5 * - 2 + 6x = 40
10 + 6x = 40
6x = 40 - 10 (Subtracting 10 at both sides)
6x = 30
x = 30/6
x = 5
