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NARA [144]
3 years ago
9

Examine the system of equations. −3x + y = 9, 2x + 4y = 8 Which variable is most efficient to isolate?

Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0

Good morning ☕️

Answer:

<h2>(-2 , 3)</h2>

Step-by-step explanation:

It’s easier to isolate y in the first equation because the coefficient of y there is just 1.

the coefficient of x in the first equation is -3 and in the second equation is 2 then it’s not easy to isolate x in both equation.

solving the system:

−3x + y = 9

2x + 4y = 8

⇔

y = 3x + 9  (*)

2x + 4y = 8

now, we substitute y by 3x + 9 in equation 2:

2x + 4(3x + 9) = 8  ⇔ 14x + 36 = 8 ⇔ 14x = - 28 ⇔ x = -28/14 = -2

at this stage we substitute x by -2 in (*) to get y:

y = 3x + 9 ⇒ y = 3(-2) + 9 = -6 + 9 = 3

finally, the solution of the system is the ordered pair (-2 , 3).

_____________________________________________

:)

iogann1982 [59]3 years ago
3 0

the y in the first equation

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5 0
3 years ago
A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin
Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points X(x_1,y_1)\ and\ Y(x_2,y_2) is:

|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Hence:

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3 0
3 years ago
50 POINTS!!!
r-ruslan [8.4K]

housing: 900/4500 = 0.2 = 20%

transportation: 650 / 4500 = 0.14 = 14%

utilities: 120/4500 = 0.026 = 2.6% ( round to 3% maybe)

food: 475/4500 = 0.105 = 10.5% (round to 11% maybe)

savings: 1600 / 4500 = 0.355 = 35.5% (round to 36% maybe)

Student Loan: 270 / 4500 = 0.06 = 6%

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 You didn't say if they needed to be rounded so I gave you the options on the ones that may need it.

8 0
2 years ago
I need help bbbbbbbb​
Sav [38]
Answer: 180cm


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The height of the triangles is 12cm and the base is 6cm.

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Phantasy [73]
The answer is B. The second one
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