For what value of p the point (p,0) lies on the line 3x + y = 11 ? – InterviewSolution

1.

For what value of p the point (p,0) lies on the line 3x + y = 11 ?

Answer»

<P>Question :–

▪︎ For what VALUE of p the point (p,0) lies on the line 3x + y = 11 ?

Answer :–

$\\ \longrightarrow \large { \red{ \boxed{\bold{ \: p= \frac{11}{3} }}}} \\$

EXPLANATION :–

GIVEN :–

▪︎ A point (p,0) lies on the line 3x + y = 11 .

TO FIND :–

▪︎ Value of p = ?

SOLUTION :–

▪︎ If a point lies on the line , then the will satisfy the equation.

• Hence , (p,0) will satisfy the equation 3x + y = 11.

$\\ { \bold{ \implies \: 3(p) + 0 = 11}} \\$

$\\ { \bold{ \implies \: 3p= 11}} \\$

$\\ \implies \large { \boxed{\bold{ \: p= \frac{11}{3} }}} \\$

Hence , Value of ${ \bold{ \: p \: \: is \: \: \frac{11}{3} \: . }} \\$

VERIFICATION :–

• We have to satisfy that a Point ${ \bold { (\dfrac{11}{3} , 0)}}$ will satisfy the given equation .

$\\ { \bold{ \implies \: \cancel3( \frac{11}{ \cancel3} ) + 0 = 11}} \\$

$\\ { \bold{ \implies \: 11 = 11 \: \: \: \: \: \: \: \: (Verified)}} \\$

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