Question

Marcus and Lara each have the same number of songs on their ipods. Marcus has 10x + 8 songs and Lara has

Answer 1

Answer:

The value of x is 20.

Step-by-step explanation:

Given that

Number of songs Marcus has = 10x+8

Number of songs Lara has = 15x-92

It is also given that they have the same number of songs that means both the expressions should be equal.

Putting both equal

$10x+8 = 15x-92$

This is a linear equation in one variable which can be solved using properties of equality

Subtracting 10 from both sides

$10x+8-10x = 15x-92-10x\\8 = 5x-92$

Adding 92 on both sides

$8+92 = 5x-92+92\\100 = 5x$

Dividing both sides by 5

$\frac{5x}{5} = \frac{100}{5}\\x = 20$

Hence,

The value of x is 20.