Question

3/4x + ax=10 in the equation above, a is a constant. if x=24 is the solution to the equation, what is the value of a

Answer 1

$\\ \sf\longmapsto \dfrac{3}{4}x+ax=10$

$\\ \sf\longmapsto \dfrac{3}{4}(24)+24a=10$

$\\ \sf\longmapsto 3(6)+24a=10$

$\\ \sf\longmapsto 18+24a=10$

$\\ \sf\longmapsto 9+12a=5$

$\\ \sf\longmapsto 12a=5-9=-4$

$\\ \sf\longmapsto 3a=-1$

$\\ \sf\longmapsto a=\dfrac{-1}{3}$

Answer 2

Answer:

⟼ 3/4 x+ax=10

⟼ 3/4 (24) + 24a = 10

⟼3(6)+24a=10

⟼18+24a=10

⟼9+12a=5

⟼12a=5−9=−4

⟼3a=−1

⟼a= -1/3