Solve by substitution

Question

-7x + y=1
7x- 6y =-6

Answer 1

from 1st eqn ... y - 1 = 7x

substitute for 7x in the 2nd equation

Answer 2

Step 1:
Solve -7x + y = 1 for y.
Do this by adding 7x to both sides.
-7x + y + 7x = 1 + 7x
y = 7x + 1

Step 2: Substitute 7x + 1 for y in 7x - 6y = -6
7x - 6y = -6
7x - 6(7x + 1) = -6
-35x - 6 = -6
-35x - 6 + 6 = -6 + 6
-35x = 0
-35x / -35 = 0 / -35

X = 0.

Step 3: Substitute 0 for x in y = 7x + 1 (the original equation.
y = 7x + 1
y = 7(0) + 1
Y = 1

Therefore x = 0 and y = 1

Answer 3

-7x + y=1
7x- 6y =-6

add the two equations, and the x vanishes, leaving
-5y = -5
y = 1
as above