Question

is...The solution to the system 5x + y = -173y = 4x + 6A. no solutionB. (3,2)C. infinite # of solutionsD. (6, 1)

Answer 1

The given equations are:

5x + y = -17

3y = 4x + 6

Let's solve both the equations:

5x + y = -17

(multiply both sides by 3)

15x + 3y = -51 (1)

3y = 4x + 6

-6 = 4x - 3y

or

4x - 3y = -6 (2)

Now, add both the equations (1) and (2)

(15x + 3y) + (4x - 3y) = -51 -6

15x + 4x + 3y - 3y = -57

19x = -56

x = -57/19

x = -3

Now, put the value of x in eq (2).

4(-3) - 3y = -6

-12 -3y = -6

-3y = -6 + 12

-3y = 6

-y = 6/3

-y = 2

y = -2

Hence, the pair should be (-3, -2).