Answer: the solution is (2, 1)
Step-by-step explanation:
The given system of simultaneous equations is given as
3x+4y=10 - - - - - - - - - - - - -1
x−y=1 - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 1 an equation 2 by 3. It becomes
3x + 4y = 10
3x - 3y = 3
Subtracting, it becomes
7y = 7
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7y/7 = 7/7
y = 1
Substituting y = 1 into equation 2, it becomes
x - 1 = 1
Adding 1 to the left hand side and the right hand side of the equation, it becomes
x - 1 + 1= 1 + 1
x = 2