Solve these equations for both v and x 4 v 2 x 1 6 v 3 x

Solve these equations for both v and x: 4 v + 2 x = -1, 6 v - 3 x = 4

Solution

4 v + 2 x = -1

6 v - 3 x = 4

Let us solve it using elimination

Let us eliminate x

multiply eq 1 by 3 and eq2 by 2

12 v + 6 x = -3

12 v - 6 x = 8

Adding the above two equations

24v = 5

v = 5/24

Substitute in equation 1

4 v + 2 x = -1

5/6 + 2 x = -1

x = -11/12

v = 5/24