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nekit [7.7K]
3 years ago
7

Consider this system of equations.

Mathematics
2 answers:
sasho [114]3 years ago
3 0

We are given two functions.

f(x)=x-4\\g(x)=-x-2

The point that represents the equation f(x)=g(x), will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for x.

f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1

Now that we are given the x value, we can plug this value back into either equation and solve for the y value.

f(1)=1-4\\f(1)=-3

The point of intersection will be (1,-3).

Hope this helps!

valina [46]3 years ago
3 0

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

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Answer:

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Step-by-step explanation:

<u>The system:</u>

{ 7x=-67-11y

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<u>Finding a value for x:</u>

7x=-67-11y -> x = -\frac{67}{7} - \frac{11y}{7}

<u>Solving for y by plugging in our x:</u>

[Equation] 5x = -73 -11y​

[Plug-in] 5(-\frac{67}{7} - \frac{11y}{7}) = -73 -11y​

[Distribute the 5] -\frac{335}{7} - \frac{55y}{7} = -73 -11y​

[Multiply by 7] 7 (-\frac{335}{7} - \frac{55y}{7}) = (-73 -11y​) 7

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[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

<u>Plug in our y to solve for x:</u>

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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