What is the solution to this system of equations?
1 answer:
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
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You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
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Answer:
they are parallels
Step-by-step explanation:
they have the same slope but different y intercepts so they are parallel
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In finding the sum of 2+5 you would go right on the number line, while in finding the sum of -2+(-5) you would go left on the number line