Question

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

no solution
infinitely many solutions

im pretty sure its no solution

Answer 1

5x+1-5x=8

1=8

Answer 2

y=1-5x then 5x+y=8 ll be y=8-5x but from first y=1-5x put in second ll be
1-5x=8-5x

Answer 3

plug in y into the second equation
\[5x+ 1-5x = 8\]
notice something? the -5x and 5x cancel out.
so yes, there'd be no solution
because \[1 \ne 8 \] so
\[\emptyset \]

Answer 4

y = 1 - 5x equation (1)
5x + y = 8 equation (2)

just plug in equation 1 into equation 2.
Since it already solved for y then just plug in directly (aka) substitude
5x + (1 - 5x ) = 8
0x+1=8
1=8 therefore i think no solution.