Question

Which pair ordered x’y is a solution to given system of linear equations 3x+y=1 5x+y=3

Answer 1

(1, -2)

Explanation:

Subtracting the first equation from the second gives ...

(5x +y) -(3x +y) = (3) -(1)

2x = 2 . . . . . collect terms

x = 1 . . . . . . . divide by 2

Then substituting into the first equation, we have ...

3·1 +y = 1

y = -2 . . . . . . subtract 3

The solution is (x, y) = (1, -2).