Respuesta :

The values for x and y so that the hanger balances are -3/2 and 3 respectively.

From the diagram given, if the hanger balances, then;

x + x + 3 = y

2x + 3 = y

In order to get the values of x and y that will make the hanger balance, we will find the x and y-intercept of the equation

Get the x-intercept:

when y = 0

2x + 3 = 0

2x = -3

x = -3/2

Get the y-intercept

If x = 0

2(0) + 3 = y

0 + 3 = y

y = 3

Hence the values for x and y so that the hanger balances are -3/2 and 3 respectively.

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