Question

5x-3y=8;3x+y=2 simultaneous equation​

Answer 1

Answer:

$3x + y = 2 \\ 3x = 2 - y \\ x = \frac{2 - y}{3} \\ \\ 5x - 3y = 8 \\ 5( \frac{2 - y}{3} ) - 3y = 8 \\ 5(2 - y) - 3y = 8 \times 3 \\ 10 - 5y - 3y = 24 \\ 10 - 8y = 24 \\ 10 - 24 = 8y \\ - 14 = 8y \\ \frac{ - 14}{8} = y \\ \boxed{\underline{ \underline{ \frac{ - 7}{4}}} = y} \\ \\ 3x + y = 2 \\ 3x + \frac{ - 7}{4} = 2 \\ 3x + ( - 7) = 2 \times 4 \\ 3x - 7 = 8 \\ 3x = 8 + 7 \\ 3x = 15 \\ x = \frac{15}{3} \\ \boxed{x = \underline{ \underline{5}}}$