Solve the system of equations. 5x + y = 9 and 3x + 2y = 4

Solution:

The equations given are

5x + y = 9 --- (1)

3x + 2y = 4 --- (2)

Equation (1) can be written as

⇒ y = 9 - 5x --- (3)

Substituting equation (3) in (2)

⇒ 3x + 2 (9 - 5x) = 4

By further calculation

⇒ 3x + 18 - 10x = 4

⇒ -7x = 4 - 18

⇒ -7x = -14

Dividing both sides by -7

⇒ x = 2

Substitute the value of x in equation (3)

⇒ y = 9 - 5(2)

⇒ y = 9 - 10

⇒ y = -1

Therefore, the solution is x = 2 and y = -1.

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Solve the system of equations. 5x + y = 9 and 3x + 2y = 4

Summary:

Solving the system of equations 5x + y = 9 and 3x + 2y = 4 the solution is x = 2 and y = -1.