Question

Find the solution of this system of equations - 10x - 6y = -56 - 10x - y = -76​

Answer 1

10 x -6y = -76

-56 - 10x - y = -76

10x - 6y = -76 (-56) - (-76) = 20

-10 x -y = -20

10x - 6y = -76

-10x -y =-20

10x cancels

76 + 20 = 96

-7y = - 96

divide both sides by -7

y = 96/7

substitute into -10x - y = - 20

- 10x - 96/7 = - 20

96/7 is a fraction btw

= -10 x = - 20 + 96/7

-20 + 96/7

-10 x = -44/7

divide by - 10

x = 22/ 35 ( a fraction)

(x,y) = (22/ 35) ( 96/7)

Answer 2

The solution of the system of equations is x = -8 and y = -4

How to determine the solution of the system of equations

From the question, we have the following parameters that can be used in our computation:

- 10x - 6y = -56

- 10x - y = -76​

Subtract the equations to eliminate x

So, we have

-6y + y = -56 + 76

Evaluate

-5y = 20

So, we have

y = -4

Recall that

- 10x - y = -76​

This gives

- 10x + 4 = -76​

So, we have

-10x = -80

x = -8

Hence, the solution of the system of equations is x = -8 and y = -4