Solve 2x + 5y = -13 and 3x - 4y = -8

Solution:

The given system of linear equations can be solved simultaneously as shown below:

2x + 5y = -13 ------> (1)

3x - 4y = -8 ------>(2)

Multiply (1) by 4 and (2) by 5 and add. We get

8x + 20y = -52
15x - 20y = -40
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23x + 0.y = -92

⇒ 23x = -92

⇒ x = -4

Putting the value x = -4 in (1) we get

⇒ 2(-4) + 5y = -13

⇒ -8 + 5y = -13

⇒ 5y = -13 + 8

⇒ 5y = -5

⇒ y = -1

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Solve 2x + 5y = -13 and 3x - 4y = -8

Summary:

Solving 2x + 5y = -13 and 3x - 4y = -8 as simultaneous linear equations we have x = -4 and y = -1