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cluponka [151]
4 years ago
10

Help solve mathematics question, please. Photo.

Mathematics
1 answer:
cricket20 [7]4 years ago
3 0

Hi Mark

3x+y=4

2x+y=5

Solve 3x+y=4 for y

Add -3x to both sides

3x+y-3x=4-3x

y=-3x+4

Substitute -3x+4 for y in 2x+y=5

2x+y=5

2x-3x+4=5

Simplify both sides of the equation

-x+4=5

Add -4 to both sides

-x+4-4=5-4

-x=1

Divide both sides by -1

-x/-1= 1/-1

x=-1

Substitute -1 for x in y=-3x+4

y=-3x+4

y=(-3)(-1)+4

Simplify both sides of the equation

y=7

Answer: (-1,7)


I hope that's help ! Have a great weekend :)

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The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?
Marrrta [24]

Option A: (x+3)^2+(y+2)^2=4 is the equation of the circle

Explanation:

The equation of the circle is x^{2} +y^2+6x+4y+10=1

We need to write the equation of the circle in standard form.

Let us subtract 10 from both sides of the equation.

Thus, we have,

x^{2} +y^2+6x+4y=-9

Grouping the terms,we have,

(x^{2} +6x)+(y^2+4y)=-9

Now, we shall complete the square, let us add and subtract the equation by 9 to write the term \left(x^{2}+6 x\right) in the form of (a+b)^2

Thus, we have,

(x^{2} +6x+9-9)+(y^2+4y)=-9

Simplifying, we get,

(x^{2} +6x+9)+(y^2+4y)=-9+9

       (x+3)^2+(y^2+4y)=0

Similarly, we shall complete the square for the term \left(y^{2}+4 y\right) in the form of (a+b)^2

Thus, we have,

(x+3)^2+(y^2+4y+4-4)=0

Simplifying, we get,

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

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Hence, Option A is the correct answer.

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4 years ago
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Please help if u cant read tell me i will send you a pic agan
Oduvanchick [21]
Their is no picture
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4 years ago
Read 2 more answers
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