solve the equation simultanoues equation graphially x+y=5; x-y=3 solveing
Answers
Answer:
Final answer : x = 4 , y = 1
Step-by-step explanation:
Steps:
1) We will make graph of above two given lines and find their point of intersection.
2) To make graph of these lines, we require at least two points on each line.
In x + y = 5,
When x = 0, then y = 5
When y=0 ,then x = 5
We will join these two points to get graph of line.
In x-y =3 ,
When x = 0 , then y = -3
When y = 0, x = 3
Hence, we will join these two points to get graph of line.
3) The point of intersection of these lines will give solution of given two simultaneous equations
On looking at graph, point of intersection is x = 4 , y = 1
Hence, our result is x = 4,y =1
Step-by-step explanation:
x + y = 5 .......1st
x - y = 3
x = 3 + y .......2nd
than,
substituting valve of x
3 + y + y = 5
2y = 2
y = 1
hence,
substituting valve of y,
x + 1 = 5
x = 4
graphically method ,
X + y = 5
x= 5 - y.....1st
and,
x= 3 + y ......2nd
so, if
1st,
y = 3 , x = 2
y = 2 , X = 3
y = 1, X = 4
2nd,
y = -1 , x = 2
y = 0, X = 3
y = 1 , x = 4
Hence,
( x , y = ( 4, 1 ) as this point is common in both equation and intersect each other in graph.
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