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NNADVOKAT [17]
3 years ago
8

This looks pretty easy... I just am not sure how to figure it out....What is the value of the x variable in the solution to the

following system of equations? 4x + 2y =12 x − y = 3 −1 5 −2 2
Mathematics
1 answer:
kakasveta [241]3 years ago
8 0
Express x from the secondequation:  x=3+y. 
Then substitude it in first equation:

4(3+y)+2y=12,
4·3+4y+2y=12,
12+6y=12,
6y=12-12,
6y=0,
y=0 and x=3+0=3
Answer: (3,0)

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Solve the 3x3 system shown below. Enter the values of x, y, and z.
slamgirl [31]

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

<u>-x +y  -z = - 4 </u>

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

<u> -2x +y -z = -5</u>

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

<u>    3y  -2z= -7</u>

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

7 0
3 years ago
Evaluate the given algebraic expression for x = 7 and y = 3. 2(x + y)2 A.)20 B.)42 C.)200 D.)400
horrorfan [7]
A. you would put in 7 for X and 3 for Y.
3 + 7 = 10
2(10) = 20
6 0
3 years ago
Read 2 more answers
Use always, sometimes or never to make a true statement:
viva [34]

Answer:

1. Intersecting lines are <u>always</u> coplanar

2. Two planes <u>never</u> intersect in exactly one point

3. Three points are <u>always</u> coplanar

4. A plane containing two points of a line <u>always</u> contains the entire line

5. Four points are <u>sometimes</u> coplanar

6. Two lines <u>never</u> meet in more than one point.

7. Two skew lines are <u>never</u> coplanar

8. Line TQ and Line QT are <u>always</u> the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0
2 years ago
Write and simplify an expression for the area of the rectangle. Write the SIMPLIFIED answer in the text box.
Ganezh [65]

Answer:

gff

Step-by-step explanation:

rwsnuggdfvg

3 0
3 years ago
Kim and Stacy like to make necklaces. Kim has made 25 necklaces, and Stacy has made t necklaces. They have made a total of 57 ne
Alecsey [184]
Your equation would be t +25=57 because we don’t know how many necklaces Stacy made so we use T to plug it in and solve
6 0
3 years ago
Read 2 more answers
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