Answer:
MB = 26
Step-by-step explanation:
AM = 2x - 3
MB = 5x + 1
AB = 21 - (-12)
= 21 + 12
= 33
According to the question M is between A and B. So,
[tex] \rm \longrightarrow AB = AM + MB \\ \\ \rm \longrightarrow 33 = (2x - 3) + (5x + 1) \\ \\ \rm \longrightarrow 2x - 3 + 5x + 1 = 33 \\ \\ \rm \longrightarrow (2x + 5x) + (1 - 3) = 33 \\ \\ \rm \longrightarrow 7x - 2 = 33 \\ \\ \rm \longrightarrow 7x - 2 + 2 = 33 + 2 \\ \\ \rm \longrightarrow 7x = 35 \\ \\ \rm \longrightarrow \dfrac{7}{7} x = \dfrac{35}{7} \\ \\ \rm \longrightarrow x = 5[/tex]
[tex] \therefore [/tex] Value of MB = 5 × 5 + 1
= 25 + 1
= 26
