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kherson [118]
4 years ago
12

If 7x + 2y = 3 and x - 3y = 30, what is the solution

Mathematics
1 answer:
Anna35 [415]4 years ago
5 0
7x+2y=3 | ×3
x-3y=30 | ×2

21x + 6y = 9
2x - 6y = 60 +
--------------------------
23x / = 69
x = 69:23
x = 3

7x + 2y = 3
21 + 2y = 3
2y = -18
y = -9

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel
Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (x_o, y_o, z_o) and are parallel to \dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

\begin  {vmatrix} x = 4+ t   \\ \\  \dfrac{x-4}{1} = t  \begin {vmatirx} \end {vmatrix}\begin {vmatrix} y = - 5+2t  \\ \\ \dfrac{y+5}{2}  =t      \end {vmatrix}\begin {vmatrix} z =2+t  \\ \\ \dfrac{z-2}{1}  =t      \end {vmatrix}

∴

\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}

8 0
3 years ago
Which equation matches the statement: "The sum of -4x and 2 is 9"??
neonofarm [45]

Answer:

A

Step-by-step explanation:

sum means addition

the problem says sum of -4x and 2 meaning -4x + 2

the word "is" right before 9 means equals 9

6 0
3 years ago
Solve the system by substitution.
kirill [66]
<h2>Answer:</h2>

x = 1

y = 1

<h3>Step-by-step explanation:</h3>

y=-3x+4\\ y=x

Substitute into one of the equations

-3x+4=x

Rearrange variables to the left sider of the equation

-3x-x=-4

Combine like terms

-4x=-4

Divide both sides of the equation by the coefficient of variable

x=\frac{-4}{-4}

Determine the sign for multiplication or division

x=\frac{4}{4}

Cross out the common factor

x=1

Substitute into one of the equations

y=1

The solution of the system is

\left \{ {{x=1} \atop {y=1}} \right.

<em>I hope this helps you</em>

<em>:)</em>

8 0
3 years ago
I need this math problem done as soon as possible!
Vesna [10]

Answer:

See below

Step-by-step explanation:

<u>Parent function:</u>

  • y = 3ˣ

<u>Transformed function:</u>

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<u>Transformations to be applied:</u>

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7 0
3 years ago
.
Tomtit [17]

Answer:

I dont know how to read hindi can u pls translate it into English

5 0
4 years ago
Read 2 more answers
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