Solve the following system of equations. enter the y-coordinate of the solution. round your answerto the nearest tenth 5x+2y=7 -2x+6y=9

(12/17, 59/34) is the answer

System of equations?

simultaneous equations
step 1: write the equations as follows:

5x + 2y = 7   (1)
-2x + 6y = 9  (2)

eliminate x or y. I am going to choose x, and I will eliminate it as follows: 

(x2)  ...5x + 2y = 7 (1)
(x5)  ..-2x + 6y = 9 (2)

now I will complete the multipication:

          10x +   4y  = 14 (3)
         -10x + 30y  = 45 (4)

Now add each of the terms as follows: 10x + (-10x)= 0 [i.e. they cancel], 4y and 30 y = 34y. and finally, 14 + 45 = 59 , so, you get:

34y = 59
divide both sides by 34 to get:
y = 1.735294118

but remember, in the question, you were asked to round your answer to the nearest tenth, that is the number straight after the decimal point, because 1/10 (or a tenth) = 0.1. So, since the next digit after this is 3 (i.e. lower than 5), the final answer is: 1.7      

                      

The answer is $9.90 with rounding to the nearest tenth