Question

sum of 2 numbers is 8. write this in the form of linear equation in two variables also draw the line given by this equation find graphically the numbers if difference between them is 2

Answer 1

let two numbers be x and y

given,

x+y=8...............(1)

x-y=2................(2)

(1)+(2)=>

=>x+y+x-y=8+2

=>2x=10

=>x=10/2=5

substitute x=5 in (1)

=>5+y=8

=>y=8-5=3

x=5 and y=3

HOPE U UNDERSTAND

PLS MARK IT AS BRAINLIEST

Answer 2

Concept

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

Given

sum of two numbers is 8.

difference of two numbers os 2.

Find

we are asked to find the values of the variables and demonstrate a graph representing the equation.

Solution

let x and y be two numbers.

from the given data,

x ₊ y = 8 ......eq(1)

x ₋ y = 2 ......eq(1)

Adding both the equations.

x ₊ y ₊x ₋ y = 8 ₊ 2

2x = 10

x = 10/2

x = 5

here x value is 5 but now we need to find the value of y by substituting the value of x in eq(1)

x ₊ y = 8 ......eq(1)

5 ₊ y = 8

y = 8 ₋ 5

y = 3

Hence we get the variables as (5,3)

now representing eq(1) on the graph.

If x = 5

x ₊ y = 8 ⇒ y = 8 ₋ 5 ⇒ y = 3, ∴(5,3)

if x =4

x ₊ y = 8 ⇒ y = 8 ₋ 4 ⇒ y = 4, ∴(4,4)

if x = 3

x ₊ y = 8 ⇒ y = 8 ₋ 3 ⇒ y = 5, ∴(3,5)

if x = 2

x ₊ y = 8 ⇒ y = 8 ₋ 2 ⇒ y = 6, ∴(2,6)

hence we must ascertain the variables' values and present a graph that illustrates the equation.

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