solve the equations
6h+8K=45 and 22h-4K=-35
Answers
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Answer:
- k = 6
- h = -½
Step-by-step explanation:
Given the 2 equations are:
- 6h + 8k = 45 ----- [Equation 1]
- 22h - 4k = -35 ----- [Equation 2]
To find:
Value of h and k = ?
Solution:
Multiply the second equation by 2 in order to get the coefficient of k as -8
2 (22h - 4k) = 2 (-35)
⇒ 44h - 8k = -70 ----- [Equation 3]
Now add both Equation 1 and 3.
6h + 8k = 45
{+} 44h - 8k = -70
50h = -25
⇒ h = -25 ÷ 50
⇒ h = -1/2
Substitute the value of 'h' in Equation 1 to find out the value of k
6h + 8k = 45
→ 6(-½) + 8k = 45
→ -3 + 8k = 45
→ 8k = 45 + 3
→ 8k = 48
→ k = 48 ÷ 8
→ k = 6
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