Question

Solve the system, using substitution.
y = 1 - 5x and 5x + y = 8

no solution

infinitely many solutions

Answer 1

See how that first equation tells you what y equals?

Substitute that into your second equation...

5x + y = 8

you know y = 1 - 5x so

5x + (1 - 5x) = 8

5x + 1 - 5x = 8

5x - 5x + 1 = 8

1 = 8

is this a true statement?

If so...it has infinitely many solutions
if not...it has no solutions

Answer 2

so im guessing no solution?

Answer 3

That would be correct