What is the solution of the system?

y = 9x - 2
y = 7x + 3

1 answer

To find the solution of the system, we can set the two equations equal to each other and solve for x.

Starting with:

9x - 2 = 7x + 3

Subtracting 7x from both sides:

2x - 2 = 3

Adding 2 to both sides:

2x = 5

Dividing both sides by 2:

x = 2.5

Now that we have the value of x, we can substitute it into either equation to find the value of y. Let's use the first equation:

y = 9(2.5) - 2
y = 22.5 - 2
y = 20.5

Therefore, the solution of the system is x = 2.5 and y = 20.5.