Which value when placed in the box would result in system of equations which infinitely many solutions y=2x-5 2y-4x=

The value is placed in system of equation is -10.

Step-by-step explanation:

Given : System of equations and

To find : Which value when placed in the box (?) would result in system of equations which infinitely many solutions ?

Solution :

For a system of equations to have infinitely many solutions,

The equations have to be linearly dependent i.e. one of the equations is a multiple of the other equation.

In the given system of equations,

The second equation have to be a multiple of the first equation.

Re-write equation 1 as

The second equation is the first equation multiplied by 2,

i.e.

On comparing the missing term is -10.

Therefore, the value is placed in system of equation is -10.

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step-by-step explanation:

answer: the answer is 127 degrees