Question

verify: x×(y+z)=(x×y)+(x×z) x=-3,y=9/2, z=7/6​

Answer 1

Answer:

$x = - 3 \\ y = \frac{9}{2} \\ z = \frac{7}{6} \\ \\ x \times (y + z) = (x \times y) + (x \times z) \\ - 3 \times ( \frac{9}{2} + \frac{7}{6} ) = ( - 3 \times \frac{9}{2} ) + ( _{ -1\: \: }\cancel{- 3} \times \frac{7}{\cancel{6}_{\: \: 2}} ) \\ - 3 \times ( \frac{27 + 7}{6} ) = \frac{ - 27}{2} + \frac{ - 7}{2} \\ _{ - 1 \: \: }\cancel{- 3} \times \frac{34}{ \cancel{6}_{ \: \: 2}} = \frac{ - 27 - 7}{2} \\ \boxed{ \underline{ \underline{ \bf \frac{ - 34}{2} = \frac{ -34}{2} }}}$