Help please! Find the approximate solution of this system of equations

Option B

Step-by-step explanation:

We have to solve this system of equations by using the Substitution method so here goes,

We insert equation 2 in equation 1 since both equations are equal to y so we equate both of them,

To square the right hand side suppose

Now,

Apply Newton-Raphson method to quickly determine the approximate solution of the polynomial we get the values of x to be,

x ≈ -0.175 and x ≈ -1.22

now insert these values into equation 1 or 2 to get the values of y

we use the first value ,

now for the second value of x,

now since the second set of values are not in the options we ignore the second set of values which are ( -1.22 , -1.612)

we use the first set of values which are (-0.175 , 2.155) which rounded off lead to (-0.2 , 2.1), so Option B is your answer

I also attached a graphical representation so you can verify the answer yourself , The approximate solution of this system of equation is the point of intersection between both the graphs which is marked on the image.

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step-by-step explanation:

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