Question

solve x+y=14 and x-y=4 of pair of linear equation by graphical method

Answer 1

Answer:

Given,

x + y = 14 -----(1)

x - y = 4 -----(2)

Now, we will solve it by substitution method;

Let's take equation 1

x + y = 14

x = 14 - y

Put the value of x in equation 2

=> x - y = 4

=> 14 - y - y = 4

=> 2y = 14 - 4

=> y = 10/2

=> y = 5

Now, put the value of y in equation 1

=> x + y = 14

=> x + 5 = 14

=> x = 9

Therefore the value of x = 9 and y = 5

Answer 2

Answer:

Concept:

Solving the given linear equations by graphical method

Step-by-step explanation:

$Substituting \ x=0 \ in \ the \ equation,\\ we \ get, \ 0+y=14 \\ \therefore y=14 \\Substituting x=2 inthe equation \\we \ get, 2+y=14 \\ y=14-2 \\ \therefore y=12 \\Substituting x=4 in the equation\\ we get, 4+y=14 \\ y=14-4 \\ \therefore y=10$

(x,y) = (0,14) (2,12) (4,10)

Similarly,

$Substituting \ x=1 \ in \ the \ second \ equation,\\ we \ get, \ 1-y=4 \\ \therefore y= -3 \\Substituting x=2 inthe equation \\we \ get, 2-y=4 \\ y= -2 \\ \therefore y=-2 \\Substituting x=3 in the equation\\ we get, 4-y=4 \\ y=-1 \\ \therefore y=-1$

(x,y) = (1,-3) (2,-2) (3,-1)

So by using the above, we can plot the points in the graph easily.

#SPJ2