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wlad13 [49]
2 years ago
14

Find the solution set of the following equations: 2y=2x+7X=y+2

Mathematics
1 answer:
kirill115 [55]2 years ago
3 0

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

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in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
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Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

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b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

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3 years ago
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Step-by-step explanation:

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The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

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Answer:

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Step-by-step explanation:

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Then the inequation that this restriction would represent is:

0.25x\leq 40\\

Where x is the number of beads made.

This could also be written more specifically:

x \leq 40 / 0.25\\ x \leq 160\\

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