Question

Solve For X and Y

$3x \: - \: 5y \: = \: 15 \\ \\ 3x \: - \: 4y \: = 12$

Answer 1

3x-5y=15----------1
3x-4y=12----------2


-1y=3

y=-3


sub in 1st equation
3x-5×-3=15
3x+15=15
3x=15-15
3x=0
X=0÷3
X=0

Answer 2

HOLA

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$3x \: - \: 5y \: = \: 15 \: - \: equation \: \: 1 \\ \\ 3x \: - \: 4y \: = \: 12 \: - \: equation \: 2 \\ \\ multiplying \: 3 \: in \: eq \: 1 \: and \: 2 \\ \\ 9x \: - \: 15y \: = \: 45 \\ 9x \: - \: 12y \: = \: 36 \\ - - - - - - - - \\ 0 \: - \: 3y \: = \: 81 \\ \\ y \: = \: \frac{81}{3} = \: 27 \: - \: eq3 \\ \\ substiuting \: eq \: 3 \: in \: eq \: 1 \\ \\ 3x \: - \: 5y \: = \: 15 \\ \\ 3x \: - 5(27) \: = \: 15 \\ \\ 3x \: - \: \: 135 \: = \: 15 \\ \\ 3x \: = \: 15 \: - \: 135 \: = \: 120 \\ \\ \\ x \: = \: \frac{120}{3} = \: 40 \\ \\ so \: x \: = \: 40 \: and \: \: y \: = \: 27$


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