Answer:
Therefore, Result ( 1,1).
Step-by-step explanation:
Given : 2x + y = 3 and x - 2y = -1.
To find :If equation two is multiplied by -2 and then the equations are added, the result is _____.
Solution : We have given
2x + y = 3
-------(i)
x - 2y = -1--------(ii)
On multiplying equation(ii) by - 2 and adding in equation (i).
- 2x + 4y = 2 ( equation (ii) * - 2)
2x + y = 3 ( adding both equation).
__________
0 + 5y = 5.
On dividing both sides by 5.
y = 1.
Plug y = 1 in equation (i)
2x +1 =3
On subtracting both sides by 1
2x = 3-1.
2x = 2
x = 1.
( 1, 1)
Therefore, Result ( 1,1).