Question

what is the answer for 3x+y=13 and 2x-y=2 in graph ​

Answer 1

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

Given pair of linear equation is

$\red{\rm :\longmapsto\:3x + y = 13 - - - (1)}$

and

$\red{\rm :\longmapsto\:2x - y = 2 - - - (2)}$

Consider, Equation (1)

$\rm :\longmapsto\:3x + y = 13$

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

$\rm :\longmapsto\:3(0) + y = 13$

$\rm :\longmapsto \: 0 + y = 13$

$\rm \implies\:y = 13$

Substituting 'x = 1' in the given equation, we get

$\rm :\longmapsto\:3(1) + y = 13$

$\rm :\longmapsto\:3 + y = 13$

$\rm :\longmapsto\:y = 13 - 3$

$\rm \implies\:y = 10$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:3(2) + y = 13$

$\rm :\longmapsto\:6 + y = 13$

$\rm :\longmapsto\:y = 13 - 6$

$\rm \implies\:y = 7$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 13 \\ \\ \sf 1 & \sf 10 \\ \\ \sf 2 & \sf 7 \end{array}} \\ \end{gathered}$

Consider Equation (2)

$\rm :\longmapsto\:2x - y = 2$

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

$\rm :\longmapsto\:2(0) - y = 2$

$\rm :\longmapsto\:0 - y = 2$

$\rm :\longmapsto\: - y = 2$

$\rm \implies\:y = - 2$

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

$\rm :\longmapsto\:2x - 0 = 2$

$\rm :\longmapsto\:2x = 2$

$\rm \implies\:x = 1$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:2(2) - y = 2$

$\rm :\longmapsto\:4- y = 2$

$\rm :\longmapsto\:- y = 2 - 4$

$\rm \implies\:y = 2$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf - 2 \\ \\ \sf 1 & \sf 0 \\ \\ \sf 2 & \sf 2 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points

➢ See the attachment graph.

Solution of given pair of linear equations is

$\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{x = 3} \\ \\ &\sf{y = 4} \end{cases}\end{gathered}\end{gathered}$

Answer 2

Answer:

y=4

x=3

Step-by-step explanation:

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