solve the system of equations using the substitution method 8x - 9 = y, y - 8x = 4
8x-9=y
and y=8x+4
put the second equation into the first, you see it cannot be solved. Reason, lines when graphed are parallel, never cross, so there is no common x,y solution.
To solve the given system of equations using the substitution method, we need to isolate one variable in either equation and substitute it into the other equation.
Let's start with the first equation: 8x - 9 = y.
1. Isolate y:
Add 9 to both sides:
8x - 9 + 9 = y + 9
8x = y + 9
Now, we can substitute this expression for y into the second equation: y - 8x = 4.
2. Substitute y:
Replace y with (8x + 9) in the second equation:
(8x + 9) - 8x = 4
Distribute the negative sign:
8x + 9 - 8x = 4
Combine like terms:
9 = 4
Oops! The equation we obtained doesn't make sense. Both variables cancelled out, and we ended up with a contradiction (9 = 4) in our equation. This means that there is no solution to the given system of equations.
Therefore, the system of equations is inconsistent, and there are no values of x and y that satisfy both equations simultaneously.