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3 years ago

What is the value of MB between A and B?

Mathematics

1 answer:

nikdorinn [45]3 years ago

4 0

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,

$\rm \longrightarrow AB = AM + MB \\ \\ \rm \longrightarrow 33 = (2x - 3) + (5x + 1) \\ \\ \rm \longrightarrow 2x - 3 + 5x + 1 = 33 \\ \\ \rm \longrightarrow (2x + 5x) + (1 - 3) = 33 \\ \\ \rm \longrightarrow 7x - 2 = 33 \\ \\ \rm \longrightarrow 7x - 2 + 2 = 33 + 2 \\ \\ \rm \longrightarrow 7x = 35 \\ \\ \rm \longrightarrow \dfrac{7}{7} x = \dfrac{35}{7} \\ \\ \rm \longrightarrow x = 5$

$\therefore$ Value of MB = 5 × 5 + 1

= 25 + 1

= 26

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