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2 years ago

Solve this system of equations using the Substitution method. 3x + y = -2 y = 2x + 3

Mathematics

1 answer:

alukav5142 [94]2 years ago

6 0

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

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BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$ , where $(x_1, y_1)$ and $(x_2 , y_2)$ are points. In this case, the point C has the values of $(x_1, y_1)$ , and B has the values of $(x_2 , y_2)$

We know that coordinates of M equal $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$

In other words,

$\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6$

Let's plug 2 for $x_1$ and 10 for $y_1$

So:

$\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6$

Multiply both sides by 2

${2 + x_2} = 12\\{10+ y_2} =12$

Subtract 2 from both sides in the first equation to find the value of $x_2$ :

$x_2=10$

Now, for the second equation, subtract 10 from both sides to find the value of $y_2$

$y_2=2$

Now substitute these values for $(x_2, y_2)$

$(x_2, y_2)=(10,2)$

So the coordinates of point B are (10, 2)

Hope this helps!

3 0

3 years ago

3 pounds cost $15. How many pounds can you buy for $45?

morpeh [17]

Answer:

you can buy 9 poundssss

6 0

3 years ago

Read 2 more answers

1 ≥ x - 9 Find out what x means.

BigorU [14]

So first +9 to both sides to isolate the variable. Then you’ll be left with 10 is greater than or equal to x. So if you switch the terms around it’ll be x is less than or equal to 10. Values that are less than or equal to 10 are like 10,9,8,7,etc.

6 0

3 years ago

What is the next number i the pattern 2,916,-972,324,-108,,36

Dahasolnce [82]

2916, -972, 324, -108, 36, ...
an = -4(-1)^n 3^(7 - n) 
a6 = -4(-1)^6 3^(7 - 6) = -12 
The next number in the pattern is -12.

6 0

3 years ago

Find the value of x.

vazorg [7]

Step-by-step explanation:

Espero que te ajude de mucho

4 0

3 years ago