Solve 7x - 2y = -3 and 14x + y = 14

Solution:

The given equations are linear equation which can be solved simultaneously as shown below:

7x - 2y = -3 --- (1)

14x + y = 14 --- (2)

Multiply (2) by 2 and add to (1)

7x - 2y = -3
28x + 2y = 28
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35x + 0 = 25

⇒ 35x = 25

⇒ x = 25/35

⇒ x = 5/7

Substituting the value of x in (1) we have:

⇒ 7(5/7) - 2y = -3

⇒ 2y = 3 + 5

⇒ 2y = 8

⇒ y = 8/2

⇒ y = 4

The solution set is (5/7, 4)

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Solve 7x - 2y = -3 and 14x + y = 14

Summary:

Solving 7x - 2y = -3 and 14x + y = 14 we get x = 5/7 and y = 2