Your answers are x = 1/2 (.5) & y = 1
Given Equations:
10x + 3y = 8
2x + y = 2
Derived Equations:
y = 2 - 2x
Substitution:
10x + 3 * (2 - 2x) = 8
10x + 6 - 6x = 8
4x + 6 = 8
4x = 2
x = 1/2 = .5
2 * (.5) + y = 2
1 + y = 2
y = 1
Check Answers:
10 * (.5) + 3 * (1) = 8
2 * (.5) + (1) = 2
By elimination: x = 3 and y = 0
y=16 x= -4
16
(2,-2)
Solving by the elimination method: x = 7 and y = 2
By elimination: x = 3 and y = 0
y=16 x= -4
16
(2,-2)
Solving by the elimination method: x = 7 and y = 2
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
Yes and it works out that x = 3 and y = 4
the answer
Solving these simultaneous equations by the elimination method:- x = 1/8 and y = 23/12
Solving the above simultaneous equations by means of the elimination method works out as x = 2 and y = 3
x=1, y=1
Double first equation: 2x + 2y = 4 Subtract this from second equation giving 5y = 5 so y = 1 and x = 1