The two equations given in the question are
- 2x + y = 10
y = 2x + 10
And
4x - y = - 14
Now let us put the value of "y" from the first equation in the second equation. We get,
4x - y = - 14
4x - (2x + 10) = - 14
4x - 2x - 10 = - 14
2x - 10 = - 14
2x = - 14 + 10
2x = - 4
x = - (4/2)
= - 2
Putting the value of x in the second equation, we get
4x - y = - 14
4 * (- 2) - y = - 14
- 8 - y = - 14
Multiplying both sides by -1 we get
8 + y = 14
y = 14 - 8
= 6
So the value of x is -2 and the value of y is 6.