1) The solution set is (1.2, -5.6)
2) It has no solution.
3) It has no solution.
Step-by-step explanation:
1) The system of equations are 3y - 6x= 12 and 5y+10=15x
.
⇒ -6x + 3y = 12
Divide it by -3 on both sides,
2x -y = -4 ------(1)
⇒ 15x + 5y = -10
Divide it by 5 on both sides,
3x + y = -2 -------(2)
Adding (1) and (2),
2x -y = -4
3x + y = -2
5x = -6
x = -6/5
x = 1.2
Substitute x=1.2 in (2),
3(1.2)+y = -2
y = -2 - 3.6
y = -5.6
The solution set is (x,y) = (1.2, -5.6)
2) The system of equations are 6y = 4x +9 and 12y-8x=18
4x -6y = -9 ------(1)
-8x +12y = 18 ------(2)
Multiply eq(1) by 2,
8x - 12y = -18.
Here, both the equations are equal and have opposite sign. Therefore, this system of equations cannot be solved for x and y value.
It has No solution.
3) The system of equations are y+5x= 13 and 4y+17=-20x
5x+y = 13 ----(1)
20x+4y = -17 -----(2)
Multiply eq(1) by 4,
20x+4y = 52
Here, both the equations have same x and y terms and only constants are different. Therefore, this system of equations cannot be solved for x and y value.
It has No solution.
