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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
-------------------
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
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
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