Answer:
x = 5 and y = 0 is correct solution of 2x + y -10 = 0 and x – y – 5 =0
Solution:
Two given equations which needs to be solve are
2x + y – 10 = 0 ------ (1)
x– y – 5 = 0 ------ (2)
Let’s modify equation (1)
2x + y – 10 = 0
y =10 - 2x ------ (3)
On substituting value of y from equation (3) in equation (2) we get
x – (10 – 2x) -5 = 0
x – 10 + 2x – 5 = 0
3x -15 = 0
x = 5
Substituting x = 5 in equation (3) to get value of y.
y = 10 – 2 [tex]\times[/tex] 5 = 10 – 10 = 0
So on solving given equation we get x = 5 and y = 0.
Lets substitute value of x = 5 and y = 0 in equation (1) and equation (2) to check whether these calculated values satisfies given equations or not.
For equation (1), 2 [tex]\times[/tex] 5 + 0 – 10 = 10 – 10 = 0
For equation (2), 5 – 0 – 5 = 0
On solving, in both cases LHS = RHS for calculated values of x = 5 and y = 0.
Hence x = 5 and y = 0 is correct solution of two given equation.
