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slamgirl [31]
1 year ago
13

{2x + 3y = 5}{ y= 5 x -4}

Mathematics
1 answer:
Natasha_Volkova [10]1 year ago
8 0

Solve the system using substitutions:

\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.

\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

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George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

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6 0
2 years ago
Evaulate 3/2 +(-k) + (-2) where = -5/2
Dennis_Churaev [7]

Step-by-step explanation:

Did you mean

Evaluate 3/2 + (-k) + (-2) where k = -5/2

= 3/2 - (-5/2) - 2

= 3/2 + 5/2 - 2

= 8/2 - 2

= 4 - 2

= 2

6 0
2 years ago
How old am i if 200 reduced by 2 times my age equals 16?
Anna [14]
Ok, so since it doesn't give a value for "my age", we'll call it x.  So the sentence translates into an equation...

200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16

200 - 2x = 16

Now let's solve for x to find "my age"

First subtract 200 from each side to begin to isolate x

-2x = -184

Divide each side by -2 to isolate x

x = -184/-2
x = 92

I'm 92 years old!
3 0
2 years ago
If x+3y=7 and y=2 then x equals?
Verdich [7]
X + 3y = 7
y = 2

Substitute

x + 3(2) = 7
x + 6 = 7
x = 1
Hope this helps!<span />
7 0
3 years ago
Read 2 more answers
*I WILL MARK U BRANLIEST AND GIVE 40 POINTS IF U ANSWER ALL THREE*
Gnesinka [82]

Step-by-step explanation:

1. 18(5)=90           18(6)=108

90*108= 9720

Her size of the original work was 9720 inches.

2. 1/2+1/2= 1      1/2=4 ft

The pole is 8 feet tall

3. 3 feet

3 0
3 years ago
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