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ANTONII [103]
3 years ago
6

Y=3x-2 and y=-2x+3 what is the intersecting point.

Mathematics
2 answers:
jasenka [17]3 years ago
6 0

(
−
1
5
,
−
13
5
)
(
-
1
5
,
-
13
5
)
Juliette [100K]3 years ago
6 0
The intercepting point is x=1
and y=1
So (1,1) is where the lines meet
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Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m
Rasek [7]

Answer:

System of equations:

x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6

Augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

Reduced Row Echelon matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

Step-by-step explanation:

Convert the system into an augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]

2. Operations:

R_2=-\frac{1}{3}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]

3. Operations:

R_3=r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]

4. Operations:

R_3=\frac{1}{2}r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

4 0
3 years ago
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FrozenT [24]
Use the slope equation: \frac{y2-y1}{x2-x1}

Plug in the points (2, 15) and (0, -1).
\frac{-1-15}{0-2} ⇒ \frac{-16}{-2} = 8

The slope of the line is 8.
7 0
3 years ago
Equation of a line through (-1,-10) which is parallel to the line y=4x+3 has (need the slope and y intercept ) please help
valina [46]
Parallel lines have the same slope but different y intercepts

Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
-10=-4+B
add 4
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8 0
3 years ago
Find the surface area of this cube. Be sure to include the correct unit in your answer
alexandr1967 [171]

Answer:

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Step-by-step explanation:

The surface area for one of the sides is 8 x 8 = 64

There are 6 sides so 64 x 6 = 384

4 0
3 years ago
Solve the inequality 2x – 5 &gt; 7<br> a. x&gt;6<br> b. x &gt;12<br> c. x
julsineya [31]
You start with 2x -5>7 the you add five to both sides 2x-5+5>7 +5    2x.12  then divide both sides by 2 2x divided by 2 > and 12 divided by 2 and get x>6 
3 0
3 years ago
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