Question

3x+2y=14: x-4y+7=0 Solve by Substitution Method​

Answer 1

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Answer 2

Answer:

$3x + 2y = 14 \\ 2y = 14 - 3x \\ y = \frac{14 - 3x}{2} \\ \\ x - 4y + 7 = 0 \\ x + 7 = 4y \\ x = {4y} - 7 \\ \\ putting \: the \: values \:of \: x \: \\ y = \frac{14 - 3(4y - 7)}{2} \\ y = \frac{14 - 12y + 21}{2} \\ y = \frac{35 - 12y}{2} \\ 2y = 35 - 12y \\ 2y + 12y = 35 \\ 14y = 35 \\ y = \frac{35}{14 } \\ \\ finding \: the \: value \: of \: x \\ x = 4 \times \frac{35}{14} - 7 \\ x = 10 - 7 \\ x = 3$

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