Question

6h + 7c = 42
5h + 6c = 30
h + c =

Answer 1

Step-by-step explanation:

answer

answer

answer

answer

Answer 2

Given:

Two equations 6h + 7c = 42 and 5h + 6c = 30.

To Find:

The value of h + c is equal to?

Solution:

1. The two equations are 6h + 7c = 42 and 5h + 6c = 30.

2. Let 6h + 7c = 42 ( Assume as equation 1 ) and 5h + 6c = 30 ( Assume as equation 2 ).

=> Multiply equation 1 with 6,

=> 36h + 42c = 252 ( Assume as equation 3 )

=> Multiply equation 2 with 7,

=> 35h + 42c = 210 ( Assume as equation 4 )

3. Solve equations 3 and 4 for the value of h and c,

=> Subtract equation 4 from equation 3,

=> 36h + 42c - ( 35h + 42c ) = 252 - 210,

=> h = 42.

4. Substitute the value of h in equation 1,

=> 6x42 + 7c = 42,

=> 7c = 42 - 252,

=> 7c = -210,

=> c = -30.

5. The value of h + c is,

=> h + c = 42 - 30 = 12.

Therefore, the value of h + c is 12.