What is the solution of the system of equations x - y = 8 and x + y = 4
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Tushar Chandra
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The system of equations x - y = 8 and x + y = 4 has to be solved for x and y.
Add the two equations, x - y + x + y = 8 + 4
=> 2x = 12
=> x = 6
x - y = 6 - y = 8
=> y = -2
The solution of the given system of equations is x = 6 and y = -2
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givingiswinning | Student
x - y + x + y = 8 + 4
2x = 12
x = 6
x - y = 6 - y = 8
y = -2
atyourservice | Student
x - y = 8 and x + y = 4
x = 8 + y
plug this into nay of the problmes above as x
8 +y + y =4
combine
8 + 2y= 4
subtract 8
2y = 4 - 8
2y = -4
divide by 2
y = -2
now plug in into any of the problems to get x
x - (-2) = 8
x +2=8
x = 6
Student Answers