Answer:
a. 36
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] [tex] \sf - \dfrac{7}{6} x [/tex] - 6 = -48
Add 6 both sides:
[tex] \longrightarrow [/tex] [tex] \sf - \dfrac{7}{6} x [/tex] + (6 - 6) = -48 + 6
6 - 6 = 0
[tex] \longrightarrow [/tex] [tex] \sf - \dfrac{7}{6} x [/tex] = -48 + 6
-48 + 6 = -42
[tex] \longrightarrow [/tex] [tex] \sf - \dfrac{7}{6} x [/tex] = -42
Multiply both side by [tex] - \dfrac{6}{7} [/tex]:
[tex] \longrightarrow [/tex] [tex] \sf - \dfrac{7}{6} x \times \bigg(-\dfrac{6}{7} \bigg) = -42 \times \bigg(-\dfrac{6}{7} \bigg) [/tex]
[tex] \sf - \dfrac{7}{6} x \times \bigg(-\dfrac{6}{7} \bigg) = x: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x= -42 \times \bigg(-\dfrac{6}{7} \bigg) [/tex]
[tex] \sf -42 \times \bigg(-\dfrac{6}{7} \bigg) = 36: [/tex]
[tex] \longrightarrow [/tex] x = 36
