Answer:
x = -1, y = 1, z = 5
Explanations:
The given equations are:
4x - 2y + 3z = 9..................(1)
x - 2y = - 3............................(2)
2x + 3y = 1............................(3)
Make x the subject of the formula from equation (2)
x - 2y = -3
x = 2y - 3.....................................(4)
Substitute equation (4) into equation (3)
2(2y - 3) + 3y = 1
4y - 6 + 3y = 1
7y = 1 + 6
7y = 7
y = 7 / 7
y = 1
Substitute y = 1 into equation (4)
x = 2(1) - 3
x = 2 - 3
x = -1
Substitute the values of x and y into equation (1)
4x - 2y + 3z = 9
4(-1) - 2(1) + 3z = 9
-4 - 2 + 3z = 9
-6 + 3z = 9
3z = 9 + 6
3z = 15
z = 15 / 3
z = 5