Question

3/2x+5/3y-7=0
9x-10y-14=0

Answer 1

Answer:

$\frac{3}{2} x + \frac{5}{3} y - 7 = 0 \\ \frac{3}{2} x + \frac{5}{3} y = 7 \\ \frac{3x}{2} + \frac{5y}{3} = 7 \\ \frac{9x + 10y}{6} = 7 \\ 9x + 10y = 7 \times 6 \\ 9x + 10y = 42 ⟹⓵\\ \\ 9x - 10y - 14 = 0 \\ 9x - 10y = 14⟹⓶ \\ \\ 9x + 10y = 42 \\ 9x - 10y = 14 \\ - - - - - - - \\ 18x = 56 \\ x = \frac{ \cancel{ 56} _{ \: \: \: 28} }{ \cancel{ 18} _{ \: \: \: 9}} \\ \boxed{ \large x = \underline{ \underline{ \bf \frac{28}{9} }}} \\ \\ 9x - 10y = 14 \\ ( _{1 \: \: \: } \cancel 9 \times \frac{28}{ \cancel 9 _{ \: \: \: 1}} ) - 10y = 14 \\ 28 - 10y = 14 \\ 28 - 14 = 10y \\ 14 = 10y \\ \frac{ _{7 \: \: \: } \cancel{ 14}}{ _{5 \: \: \: } \cancel{ 10}} = y \\ \boxed{ \large \underline{ \underline{ \bf \frac{7}{5}}} = y}$