The system that has the same solution as x+3y=10, -2x-2y=4 is option B. This is because they both have the same solution x = -8 and y = 6
How to solve simultaneous linear equation
x+3y=10 _________1
-2x-2y=4 _________2
x+3y=10
x=10 - 3y__________3
substituting x=10 - 3y into equation 2 gives
-2 (10 - 3y) - 2y = 4
-20 + 6y - 2y = 4
4y = 4 + 20
4y = 24
y = 6 ______________4
substituting y = 6 into equation 3 gives
x = 10 - 3 ( 6 )
x = 10 - 18
x = - 8
Solving the equation simultaneously
gives the answer x = - 8 and y = 6
Substituting the values x = - 8 and y = 6 into the options, only option B returns same answer and hence same solution
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