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dmitriy555 [2]
3 years ago
7

Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

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<h2>{ 1 , 2 , 3 , 4 }</h2>

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<h3><u>Domain</u><u> </u><u>and</u><u> </u><u>Range:</u></h3>

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

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Tap for more steps...

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