Question

. Solve the system of equations using substitution. 3y = –x + 2 y = –x + 9 (3, 6) (20, –4) (–1, 8) (10, –1)

Answer 1

Answer:

The answer to your question is (27/2, -9/2)  None of the options given

Step-by-step explanation:

Equations

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

                    y  = - x + 9       ---------- (II)

Process

1.- Substitute equation II in equation l

                   3(- x + 9) = -x + 2

2.- Expand

                   -3x + 27 = - x + 2

3.- Add x in both sides

                   -3x + 27 + x = - x + 2 + x

4.- Simplify

                   -2x + 27 = 2

5.- Subtract 27 in both sides

                   -2x + 27 - 27 = 2 - 27

6.- Simplify

                   -2x = -27

7.- Divide both sides by -2

                   -2x/-2 = -27/-2

8.- Simplify

                         x = 27/2

9.- Substitute the value of x in equation ll

                       y = -27/2 + 9

10.- Simplify

                        y = (-27 + 18) / 2

                       y = -9/2

Answer 2

Answer:

when x=25/2 and y= -7/2