Question

Solve the following system of equations by using elimination: x - y =-1 x + y =9

Answer 1

(4, 5)

Step-by-step explanation:

The system of equation is

x - y = -1

x + y = 9

To solve the system using elimination, we need to add both equations so

x - y = -1

x + y = 9

2x + 0 = 8

Now, we can solve the equation

2x = 8

2x/2 = 8/2

x = 4

Finally, replacing x = 4 on the second equation and solve for y

x + y = 9

4 + y = 9

4 + y - 4 = 9 - 4

y = 5

Therefore, the solution to the system of equation is

x = 4 and y = 5 or the point (4, 5)