What is the solution of the system?
y=9x-2
y=7x+3
To find the solution of this system of equations, we can set the two equations equal to each other and solve for the value of x.
So, we have:
9x-2 = 7x+3
Subtract 7x from both sides:
2x-2 = 3
Add 2 to both sides:
2x = 5
Divide both sides by 2:
x = 5/2
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's substitute it into the first equation:
y = 9(5/2) - 2
y = 45/2 - 2
y = 45/2 - 4/2
y = 41/2
So, the solution to the system of equations is x = 5/2 and y = 41/2.