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Elena L [17]
3 years ago
10

Determine whether the systems have one solution, no solution or infinitely solutions

Mathematics
1 answer:
larisa [96]3 years ago
6 0
Problem would be easier to do if you'd write one function above the other:

<span>3x-2y=3; 6x-4y=1 should be:

</span><span>3x-2y=3
</span><span>6x-4y=1
------------


Please note that if you mult. the first equation by 2, you get 6x-4y= 6, which is almost but not quite the same as the second equation.  
It should be obvious that 6x-4 in the first equation are the same expression as 6x-4 in the second equation.  6x-4 cannot = 6 and also =1 at the same time, so this system has NO solution.  The 2 lines never intersect.

</span>
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4/9x - 3/8=

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Step-by-step explanation:

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Which must be true in order for the relationship
disa [49]

According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.

<h3>What is the AA Similarity Theorem?</h3>

The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.

For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.

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1 year ago
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solong [7]

9514 1404 393

Answer:

  a. x = 13/7

  b. j = 3

  c. y = 2

  d. p = 25

Step-by-step explanation:

Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.

__

a. 3x +13 = 10x . . . . combine like terms

  13 = 7x . . . . . . . . . subtract 3x

  13/7 = x . . . . . . . . divide by the coefficient of x

__

b. 10j -20 = 10 . . . . combine like terms

  10j = 30 . . . . . . . . add 20

  j = 3 . . . . . . . . . . . divide by 10

__

c. 6y = 14 -y . . . . . . combine like terms

  7y = 14 . . . . . . . . . add y

  y = 2 . . . . . . . . . . divide by 7

__

d. p + 8 = 33 . . . . . . combine like terms

  p = 25 . . . . . . . . .  add -8

_____

<em>Comment on solving equations</em>

In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.

You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.

The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.

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3 years ago
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klasskru [66]

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Step-by-step explanation:

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