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# Is this equation solvable 3x plus 4y-6c equals -7 and x plus 9y equals 19 and 5x-y equals 3?

Updated: 10/19/2022

Chickenbottom

Lvl 1
14y ago

YES : Equation (1) 5x - y = 3

x + 9y = 19 : Multiply by 5 â†’Equation (2) 5x + 45y = 95

Subtract Equation (1) from Equation (2) to eliminate 'x' terms. This gives : 45y -(-y) = 95 - 3 : 46y = 92 : y = 2

Substituting for y in Equation(1) gives : 5x - 2 = 3 : 5x = 3 + 2 = 5 : x = 1

Substituting for x and y in the equation 3x + 4y - 6c = -7 gives : 3 + 8 - 6c = -7 : 6c = 11 + 7 = 18 : c = 3

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Q: Is this equation solvable 3x plus 4y-6c equals -7 and x plus 9y equals 19 and 5x-y equals 3?
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