Answer:
3. no solution
5. (x, y) = (2, 3)
Step-by-step explanation:
3.
-5x +y = 1
-10x +2y = -2
Multiply the first equation by -2 and add the second equation:
-2(-5x +y) +(-10x +2y) = -2(1) +(-2)
10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses
0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION
(The lines graph as parallel lines.)
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5.
y = 1/2x +2
y = x +1
Subtract the first equation from the second:
(y) -(y) = (x +1) -(1/2x +2)
0 = 1/2x -1
0 = x -2
2 = x
y = x +1 = 2 +1 = 3 . . . . use the second equation to find y
The solution is (x, y) = (2, 3).
