Question

How many solutions does the following linear equation have?
y = -2x -4
y = 1/2x - 5

Answer 1

x=2/5, y=-24/5. (2/5, -24/5).

Explanation:

y=-2x-4

y=1/2x-5

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-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5