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Zigmanuir [339]
3 years ago
8

Solve the given system, using the substitution method. y = 3x – 4 9x – 3y = 14

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
y=3x-4 \\
9x-3y=14 \\ \\
\hbox{substitute 3x-4 for y in the 2nd equation:} \\
9x-3(3x-4)=14 \\
9x-9x+12=14 \\
12=14 \\
not \ true \\ \\
\boxed{\hbox{no solution}}
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Answer:

(x,y) =(-4,-3) --- Vertex

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Step-by-step explanation:

Given

y = -6(x + 4)^2 - 3

Solving (a): The vertex

For an equation written in

y = a(x - h)^2 + k

The vertex is:

(x,y) = (h,k)

By comparison:

y = a(x - h)^2 + k  and y = -6(x + 4)^2 - 3

-h =4       k = -3

h =-4         k = -3  

So, the vertex is:

(x,y) =(-4,-3)

Solving (b): The axis of symmetry

For an equation written in

y = a(x - h)^2 + k

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In (a):

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Answer:

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The set of ordered pairs that we have is:

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Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

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