Solve the simultaneous equations:

3a-2b=14
4a+3b=13

Step-by-step explanation:

3a-2b=14 multiply by 3

9a - 6b = 42 (1)

4a+3b=13 multiply by 2

8a +6b = 26 (2)

sum up (1) and (2)

17a = 68

a =4

b=-1

a = 4 b = -1

Step-by-step explanation:

13 = 4a - 3b  (1)

14 = 3a + 2b  (2)

(1) x 2

(2) x 3

26 = 8a - 6b   (3)

42 = 9a + 6b   (4)

(3) + (4)

68 = 17a

68/17 = 17a/17

a = 4

Substitute back in to original equation

14 = 3(4) - 2b

14 = 12 - 2b

14 - 12 = 12 -12 - 2b

2 = -2b

Divide by -2 both sides

b = -1

Check

3(4) - 2(-1)

12 + 2 = 14

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: