-x+y=5
The following formula ×2+ the above formula, eliminate x, get.
3y = 12, so y = 4.
x=y-5=- 1
So the solution of the equation is x =- 1 and y = 4.
(2){x-2y=3
x+2y=6
The following formula+the above formula, eliminate y, get.
2x = 9, so x = 9/2.
y=(6-x)/2=3/4
Therefore, the solution of the equation is x = 9/2 and y = 3/4.
(3){x+y=36
x+2y=50
The following formula-the above formula, eliminate x, get.
y= 14,x=36-y=22
Therefore, the solution of the equation is x = 22 and y = 14.
(4){5x-6y= 1
2x-6y= 10
Upper formula-lower formula, eliminate y, and get
3x =-9, so x =-3.
y=(5x- 1)/6=-8/3
So the solution of the equation is x =-3 and y =-8/3.
(5){2a-b=8
3a+2b=5
The following formula+the above formula× 2, b is eliminated, so.
7a=2 1,a=3
b=2a-8=-2
Therefore, the solution of the equation is a = 3 and b =-2.
{2x+3y=-5
3x-4y= 18
The following formula ×3+ the above formula ×4, eliminate y, and get.
17x=34,x=2
y=(3x- 18)/4=-3
Therefore, the solution of the equation is x = 2 and y =-3.