Question

Please help with q9. thank u

Answer 1

Comparing my response with the other below mine I WAS Wrong he is right.!!! consider his please!!!!

Answer 2

`\large \bf \blue \implies{\pink{\boxed{ \bf \red{ -(21)/(11) }}}}`

Step-by-step explanation :

Apply the conditions of parallel lines :

`\bf \longrightarrow{\boxed{\bf \blue{(a_1)/(a_2) = (b_1)/(b_2) \\eq \: (c_1)/(c_2) \\ }}}`

`\bf\longrightarrow(3k - 2)x + 5y = 17 \\\bf\longrightarrow 7y + (2k - 7)x = 19 \\ \\\bf\longrightarrow (a_1)/(a_2) = (b_1)/(b_2) \\eq \: (c_1)/(c_2) \\ \\ \bf\longrightarrow (3k - 2)/(2k - 7) = (5y)/(7y)`

`\bf\red\bigstar`Let's solve your equation step-by-step :

`\bf\longrightarrow(3k - 2)/(2k - 7) = (5y)/(7y) \\`

Step 1) : Multiply both sides by 2k - 7 :

`\bf\longrightarrow3k - 2 \: = (10k - 35)/(7) \\`

Step 2) : Multiply both sides by 7 :

`\bf\longrightarrow21k - 14 = 10k - 35`

Step 3) : Add -10k to both sides :

`\bf\longrightarrow21k - 14 + - 10k = 10k - 35 + - 10k \\ \\\bf\longrightarrow 11k - 14 = - 35`

Step 4) : Add 14 to both sides :

`\bf\longrightarrow11k - 14 + 14 = - 35 + 14 \\ \\ \bf\longrightarrow11k = - 21`

Step 5) : Divide both sides by 11 :

`\bf\longrightarrow (11k)/(11) = ( - 21)/(11) \\ \\\bf\longrightarrow k = ( - 21)/(11)`

Hence the answer is k =
`-(21)/(11)`.