Answer: x = - 5
y = 4
Step-by-step explanation:
The given system of linear equations is expressed as
3x + 4y = 1- - - - - - - - - - - - -1
4x + 5y = 0- - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 4 and equation 2 by 3. It becomes
12x + 16y = 4- - - - - - - - - - -3
12x + 15y = 0- - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
y = 4
Substituting y = 4 into equation 1, it becomes
3x + 4 × 4 = 1
3x + 16 = 1
Subtracting 16 from the left hand side and the right hand side of the equation, it becomes
3x + 16 - 16 = 1 - 16
3x = - 15
Dividing the left hand side and the right hand side of the equation by 3, it becomes
3x/3 = - 15/3
x = - 5
