Okay so we have.
2x + 7y = 2
y = - 2x - 1
Rearranging the second expression we have y + 2x = -1; So 2x + y = -1
2x + 7y = 2
2x + y = -1
Subtracting both eqns we have (2x - 2x) + (7y-y) = 2-(-1). So we have 6y =3; y = 0.5
Substituting into second eqn we have 2x + 0.5 = -1. 2x = -1-0.5=-1.5. Hence x = --0.75.
So we have to check for consistency if we would confirm the expression. So Substiting values of x and y into the first eqn we have 2(-0.75) + 7(0.5) = -1.5 + 3.5 =2. And into the second eqn we have 2(-0.75) + 0.5 =-1.5 + 0.5 =-1. So, yes! You are dead right.
