1 answer
(click or scroll down)
To solve this system of equations by inspection, we can see that the second equation can be rearranged to y = 15x + 25.
Now we can substitute this expression for y into the first equation:
x + 5(15x + 25) = 25
x + 75x + 125 = 25
76x = -100
x = -100/76
x = -25/19
Now we can substitute x back into the second equation to find y:
y = 15(-25/19) + 25
y = -375/19 + 475/19
y = 100/19
Therefore, the solution to the system of equations is x = -25/19 and y = 100/19.
Since the system has a unique solution, it is consistent and independent.