Question

Please solve the question

Answer 1

Answer:   c = -4 and  d= 6

Explanation:

8 - 2d = c

4c + 3d = 2    

Solve using the substitution method . Substitute the value of C in the first equation into the second equation and solve for d.

4(8- 2d) + 3d = 2       First apply the distributive property  

 32 - 8d + 3d = 2              Combine like terms on the left side

   32 - 5d = 2              Subtract 32 from both sides

 -32               -32

  -5d = -30        Now divide both sides by 5

   d = 6

Since the value of d is 6, input it into one of the equations to solve for c.

8 - 2(6) = c

8 - 12 = c

c = -4  

Answer 2

8 - 2d = c
4c + 3d = 2

(Substitute c = -2d + 8 in ‘c’ spot in the other equation)
4c + 3d = 2
4(-2d + 8) + 3d = 2
distribute
-8d + 32 + 3d = 2
combine liked terms
-5d + 32 = 2
-32 on both sides
-5d = -30
/-5 on both sides
d = 6

(substitute d = 6 in the ‘d’ spot in either equations)
c = -2d + 8
c = -2(6) + 8
distribute
c = -12 + 8
combine liked terms
c = -4

Answer:
c = -4
d = 6