Solve the simultaneous equations: 5x - 3y = 1, 2x + 5y = 19?

Expert Solution

Solution:

We have:

5x - 3y = 1 - Eq. I

2x + 5y = 19 - Eq. II

Multiplying Eq. I by 2 and Eq. II by 5:

10x - 6y = 2 - Eq. III

10x + 25y = 95 - Eq. IV

Subtracting Eq. III from Eq. IV:

31y = 93

⇒ y = 93/31 = 3

Substitute y = 3 in Eq. I:

5x - 3 (3) = 1

⇒ 5x - 9 = 1

⇒ 5x = 1 + 9

⇒ x = 10/5 = 2

Thus, the solution of given equations is: x = 1, y = 3

Thus, the solution of given equations is: x = 1, y = 3

Shams answered 2 years ago

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