Solve the following system of equations 3x - 2y =5 -2x - 3y = 14

x = -1 and y = -4

Step-by-step explanation:

It is given that,

3x - 2y = 5     (1)

-2x - 3y = 14 (2)

To find the solution of equations

(1) * 2 ⇒

6x - 4y = 10  (3)

(2) * 3 ⇒

-6x - 9y =  42   (4)

eq(3) + eq(4) ⇒

6x - 4y = 10  (3)

-6x - 9y =  42  (4)

 0   - 13y = 52

y = 52/(-13) = -4

Substitute the value of y in eq(1)

3x - 2y = 5     (1)

3x - (2 * -4) = 5

3x  +8 = 5

3x = 5 - 8 = -3

x = -3/3 = -1

Therefore x = -1 and y = -4

The solution is:

Step-by-step explanation:

We have the following equations

To solve the system multiply by the second equation and add it to the first equation

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Now substitute the value of y in any of the two equations and solve for x

The solution is: