Question

Determine the value of b if (-1,10) is a solution of the equation 3x+by =27. Also find the coordinates of the point on its graph for which x=7 .
explain briefly tp get brainliested ":)

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\rm :\longmapsto\:3x + by = 27$

Since, it is given that point ( -1, 10 ) lies on it.

So,

$\rm :\longmapsto\:3( - 1)+ b(10) = 27$

$\rm :\longmapsto\: - 3+ 10b= 27$

$\rm :\longmapsto\: 10b= 27 + 3$

$\rm :\longmapsto\: 10b= 30$

$\red{\bf :\longmapsto\: b= 3}$

So, given equation can be rewritten as

$\rm :\longmapsto\:3x + 3y = 27$

$\rm :\longmapsto\:3(x + y)= 27$

$\bf :\longmapsto\:x + y= 9$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:0 + y= 9$

$\rm :\longmapsto\:y= 9$

Substituting 'y = 0' in the given equation, we get

$\rm :\longmapsto\:x + 0= 9$

$\rm :\longmapsto\:x = 9$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 9 \\ \\ \sf 9 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 9) & (9 , 0)

➢ See the attachment graph.

From graph, we conclude that when x = 7, y = 2.

So, coordinate is ( 7, 2 )

Answer 2

Step-by-step explanation:

Given equation of line is

= 3x + by = 27

since, it is given that point (-1,10) lines on it

so,

= 3(-1)+b (10)=27

= -3 + 10b = 27

= 10b = 27+3

=10b = 30

= b=3

so, given equation can be rewritten as

= 3x + 3y =27

= 3 ( x + y) = 27

= x + y = 9

substituting x = o in the given equation, we get

= o + y = 9

= y = 9

substituting y = o in the given equation, we get

= x + y = 9

= x = 9

Hence,

pair of points of the given equation are showing the below table

now, draw a graph using the point (o, 9) and (9,0)

from graph, we concluded that when x = 7,y = 2

so, coordinate is (7,2).