How many solutions does this system have 2y=10x-14and 5x-y=7

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

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Step-by-step explanation: