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3 years ago

Solve each system of linear equations by substitution.

2 answers:

6 0

3x-2y=9 will be
3x-9=2y and
(3x)/2-9/2=y

2) y=2x-7

if you mean the intersection , so y=y
(3x)/2-9/2=2x-7
1,5x-4,5=2x-7
-4,5+7=2x-1,5x
2,5=0,5x
x=2,5/0,5
x=5 is the answer

Naddik [55]3 years ago

3 0

$3x-2(2x-7)=9 \\ 3x-4x+14=9 \\ -x+14=9 \\ -14\ \ \ \ -14 \\ -x=-5 \\ /-1/-1 \\ \ \ x=5$

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2 years ago

The equation of a circle is given below.

BARSIC [14]

Given:

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We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is $(x-h)^2+(y-k)^2=r^2$

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the center.

The given equation can be written as,

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Comparing the two equations, we get;

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Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the radius.

Hence, the given equation can be written as,

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Comparing the two equation, we get;

$r^2=8^2$

$r=8$

Thus, the radius of the circle is 8

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4 years ago