Question 3(multiple choice worth 4 points)

(08.03)solve the system of equations and choose the correct answer from the list of options.

2x + y = −4
y = 3x + 2

negative 6 over five comma negative 8 over 5
negative 8 over 5 comma negative 6 over 5
negative 5 over 6 comma negative 11 over 5
negative 11 over 5 comma negative 6 over 5

The solution of the system of equations is:

                          negative 6 over 5 comma negative 8 over 5.

We are given a system of linear equations as:

                          2x + y = −4 ------------(1)

                         y = 3x + 2------------(2)

Now we solve the system of equations using the substitution method.

i.e. we substitute the value of y in terms of x from equation (2) in equation (1) and find the value of x and y.

i.e.

2x+3x+2= -4

i.e.  5x+2= -4

i.e.  5x= -6

i.e.  x= -6/5

Similarly, on putting this value of x in equation (2) we obtain:

y= -8/5

               Hence, the solution is:

yes. we do proportions in probabilities.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft