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How many solutions does the system have x+4y=8, x+2y=4

User JimFuqua
by
5.2k points

2 Answers

6 votes

Answer:

One solution

Explanation:

User Rishi Saraf
by
5.1k points
3 votes

Answer:

1

Explanation:

The ratio of the x coefficient to the y-coefficient is different in each equation, so the equations are for lines of different slope, so there is one solution.

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The solution can be found by subtracting the second equation from the first:

(x +4y) -(x +2y) = (8) -(4)

2y = 4

y = 2

x + 2(2) = 4 . . . . substitute into the second equation

x = 0 . . . . . . . . . subtract 4

The one solution is (x, y) = (0, 2).

User Boden Garman
by
4.5k points