Question

if x = 2k+1 and y = k is a solutiom of the equatin 5x + 3y - 7 = 0, find k

Answer 1

◐ Given ◐

• x = 2k + 1
• y = k
• is a solution of the equation 5x + 3y - 7 = 0

◐ To find ◐

• Value of k

◐ Solution ◐

• 5x + 3y - 7 = 0

☯ Substitute the value of x and y

• 5(2k + 1) + 3(k) - 7 = 0
• 10k + 5 + 3k - 7 = 0
• 13k + 5 - 7 = 0
• 13k - 2 = 0
• 13k = 2
• k = 2/13

∅ The value of k is ²⁄₁₃

Answer 2

◐ Given ◐

x = 2k + 1

y = k

is a solution of the equation 5x + 3y - 7 = 0

◐ To find ◐

Value of k

◐ Solution ◐

5x + 3y - 7 = 0

☯ Substitute the value of x and y

5(2k + 1) + 3(k) - 7 = 0

10k + 5 + 3k - 7 = 0

13k + 5 - 7 = 0

13k - 2 = 0

13k = 2

k = 2/13

∅ The value of k is ²⁄₁₃