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Svet_ta [14]
3 years ago
12

Solve the system of equations for 7x+2y=16 and -21x-6y=24

Mathematics
1 answer:
Georgia [21]3 years ago
6 0
Simplifying
7x + 2y = 16

Solving
7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
7x + 0 = 16 + -2y
7x = 16 + -2y

Divide each side by '7'.
x = 2.285714286 + -0.2857142857y

Simplifying
x = 2.285714286 + -0.2857142857y
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9a+b-8c-2(a+3b-c) simplified
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Answer:

The correct simplified answer for 9a + b - 8c - 2 (a + 3b - c) would be 7a - 5b - 6c

Step-by-step explanation:

Hope this helps! Sorry if there is no explanation, I am kinda in a rush.

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3 years ago
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Solve for z −cz+6z=tz+83
Alborosie

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Step-by-step explanation:

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What is the slope of the line that is perpendicular to the given line x-2y=10?
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3 years ago
Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?
andreyandreev [35.5K]

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, y - b = m(x - a). Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of y - 2 = 3(x - 1), look for the points which will give you something almost exactly as the equation if you substitute their values into y - b = m(x - a).

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into y - b = m(x - a)

We have:

y - (2) = m(x - (1))

y - 2 = m(x - 1)

As you can see, this looks almost exactly as

y - 2 = 3(x - 1).

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into y - 2 = m(x - 1) to find m:

In graph D, let's take the points (0, -1)

-1 - 2 = m(0 - 1)

-3 = m(-1)

-3 = -m

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line y - 2 = 3(x - 1).

3 0
3 years ago
У
Vilka [71]

Answer:

y=4

Step-by-step explanation:

7 0
3 years ago
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