Question

How do you solve the system?: 2(x−4)+y=6,3x−2(y−3)=13

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

y = 4         ;      x = 5

Step-by-step explanation:

2(x−4)+y=6                           ________  1

3x−2(y−3)=13                        ________ 2

Eq 1                                            Eq 2

2x - 8 + y =6                               3x - 2y +6 =13

2x + y =6+8                                3x - 2y = 13-6

2x + y =14                                   3x - 2y = 7       _______ 3

Multiply by 2

4x + 2y =28   _______ 4

Add eq 3 ad 4

4x + 2y =28

3x - 2y = 7

__________

7x  - oy   =35

7x =35

x = 35/7

x = 5

Put X in 3

3(5) - 2y = 7

15 -2y =7

-2y = 7-15

-2y = -8

y = -8/-2

y = 4