Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 14

Solution:

Given, the system of equations are

3x - 2y = 6 --- (1)

6x - 4y = 14 --- (2)

Given, the system of equations are 

3x - 2y = 6 ------------- (1)

6x - 4y = 14 ----------- (2)

We have to solve the system of equations.

Divide equation (2) by 2 on both sides,

3x - 2y = 7 

3x = 7 + 2y 

Substitute the value of 3x in (1)

7 + 2y - 2y = 6

0 = 6 - 7

0 = -1

Thus the following system of equations 3x - 2y = 6 and 6x - 4y = 14 has no solutions.

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Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 14

Summary:

The following system of equations 3x - 2y = 6 and 6x - 4y = 14 has no solutions.