Answer:
Eliminition method
Step-by-step explanation:
We have, two equations as follows :
4x − 5y = 4 ...(1)
2x + 3y = 2 ...(2)
Eliminition method is the good method to find the solution of above equations. It is very easy eliminate x. We can do it as follows :
Multiply equation (2) by 2 :
4x + 6y = 4 ...(3)
Now subtracting equation (3) from (1)
4x − 5y - (4x + 6y) = 4-4
-5y-6y = 0
y = 0
Now put y = 0 in equation (1)
4x − 5(0) = 4
x = 1
So, we get the value of x = 1 and y = 0 by using elimination method. It is one of the convenient method to solve.
The solution of above equation is (1,1).
Given Equations [tex]4x -5y = 4[/tex]......equation 1
[tex]2x + 3y = 2[/tex] ......equation 2
On first instant we have in mind it is easy to eliminate [tex]x[/tex] from the equation for this we have to multiply equation 2 by 2 we get, [tex]4x+6y=4[/tex] ......equation 3
Now on subtracting equation 3 from 1 we get, [tex]-11y= 0[/tex]
Or, [tex]y=0[/tex]
Putting the value of y =0 in equation 3, we get [tex]4x=4[/tex]
Or,[tex]x=1[/tex]
Hence the solution of above equation is (1,1).
For more details on elimination method follow the link:
https://brainly.com/question/11342812
