The given system of equations has no solution and it is inconsistent
Solution:
Given system of equations are:
2y = 10x - 14 ----- eqn 1
5x - y = 7 ------ eqn 2
Divide both sides of eqn 1 by 2
y = 5x - 7 ------ eqn 3
Let us solve using substitution method
Substitute eqn 3 in eqn 2
5x - (5x - 7) = 7
5x - 5x + 7 = 7
5x - 5x = 7 - 7
0 = 0
Thus the system of equations has no solution. If a system has no solution, it is said to be inconsistent
