Question

Solve the system of equations by the addition method3x - 2y = 74x + 6y = 5

Answer 1

x = 2

y = -1/2

Step-by-step explanation:

First, we need to multiply the first equation by 3 as:

3x - 2y = 7

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

9x - 6y = 21

Now, we can add this equation to the second equation, So:

9x - 6y = 21

4x + 6y = 5

13x + 0 = 26

So, we can solve for x, as:

13x = 26

x = 26/13

x = 2

Finally, we can replace x by 2 on the first equation and solve for y as:

3x - 2y = 7

3*2 - 2y = 7

6 - 2y = 7

-2y = 7 - 6

-2y = 1

y = 1/(-2)

y = - 1/2