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2 years ago

Use the elimination method to solve the system of equations choose the correct ordered pair x+y=6 x-y=4

Mathematics

2 answers:

Dafna1 [17]2 years ago

6 0

X+y=6
x-y=4
- + -
2y=2
y=2/2
y=1

x+y=6
x+1=6
x=6-1
x=5

it's C (5,1)

Jet001 [13]2 years ago

4 0

Answer:

The correct option is C. The solution of given system of equations is (5,1).

Step-by-step explanation:

The given equations are

$x+y=6$ .... (1)

$x-y=4$ .... (2)

Add equation (1) and (2), to eliminate y.

$2x=10$

Divide both sides by 2.

$x=5$

The value of x is 5. Put this value in equation (1).

$5+y=6$

Subtract 5 from both the sides.

$y=6-5$

$y=1$

The value of y is 1. The point (5,1) is the solution of the given system of equations.

Therefore the correct option is C.

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U first find the common denominator which is 8

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2 years ago

Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

--------------------------

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

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2 years ago

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https://newsela.com/read/lib-ushistory-roman-republic/id/27389/

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

A square has side length 3 units. What is the length of the diagonal?

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Answer:

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Step-by-step explanation:

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If you like, you can see this using the Pythagorean theorem.

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For s=3, ...

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