All categories

3 years ago

Solve by augmented matrix (GJ) 2x + 3y – 4z = 1 4x + y + 2z = -3 pls help!!

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

3x-y-2z=4. 2x+3y-4z=1

4x-7y-6z=-7. -x+6y+4z=11

- +. +. +. x+9y=12

____________.

-x +6y +4z=11.

You might be interested in

Which of these equations, when solved, gives a different value of x than the other three? 9.1 = -0.2x + 10 10 = 9.1 + 0.2x 10 –

garik1379 [7]

Given:

Different equations are given.

Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan's gift card had $1.90 remaining.

To find:

The equation which gives a different value of x than the other three.

To find the equations that could you use to find the price of one tire patch.

Solution:

In option A,

$9.1 = -0.2x + 10$

$0.2x= 10-9.1$

$0.2x= 0.9$

Divide both sides by 0.2.

$x=\dfrac{0.9}{0.2}$

$x=4.5$

Similarly,

In option B,

$10 = 9.1 + 0.2x$

$0.9= 0.2x$

$4.5=x$

In option C,

$10-0.2x = 9.1$

$-0.2x = -0.9$

$x = 4.5$

In option D,

$9.1 – 10 = 0.2x$

$-0.9 = 0.2x$

$-4.5 = x$

Since option D has difference solution, therefore the correct option is D.

Let price of one tire patch be x.

So, price of 4 tire patches = 4x

Remaining amount in Rhyan's gift card = $1.90

Total amount = $22.20

Price of 4 tire patches + Remaining amount in gift card = Total amount

$4x+1.9=22.2$

It can be written as

$4x-22.2=-1.9,1.9=22.2-4x,22.2-4x=1.9$

Therefore, the correct options are C and E.

4 0

3 years ago

Read 2 more answers

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

pshichka [43]

Answer:

The amount they charged to wash a car is $6 and vacuum a car is $2.

Step-by-step explanation:

Given:

Trisha and Byron are washing and vacuuming cars to raise money for a class trip.

Trisha raised $38 washington 5 cars and vacuuming 4 cars.

Byron raises $28 by washing 4 cars and vacuuming 2 cars.

Now, to find the amount they charged to wash a car and vacuum a car.

Let the amount charged for washing a car be $x.$

And the amount charged for vacuuming a car be $y.$

So, the total amount Trisha raised:

$5x+4y=38.$ .......(1)

And, the total amount Byron raised:

$4x+2y=28.$

Now, to get the amount they charged to wash a car and vacuum a car we use elimination method:

$5x+4y=38\\4x+2y=28......\times 2$

$5x+4y=38\\8x+4y=56$

$-3x=-18$

$3x=18$

Dividing both sides by 3 we get:

$x=6.$

Amount charged to wash a car = $6.

Now, putting the value of $x$ in equation (1) we get:

$5(6)+4y=38.$

$5\times 6+4y=38$

$30+4y=38.$

Subtracting both sides by 30 we get:

$4y=8.$

Dividing both sides by 4 we get:

$y=2.$

Amount charged to vacuum a car = $2.

Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.

5 0

3 years ago

30 PTS a. 59 b. 36.9 c. 53.1 d. 30.1

poizon [28]

Answer:

Step-by-step explanation:

8 0

3 years ago

How many ounces are in a pound

Sav [38]

Answer:

there is exactly 16 ounces in a pound

Step-by-step explanation:

16 ounces weighed = 1 pound

//hope this helps//

7 0

4 years ago

HELP SOON PLEASE!!!!!!!

MissTica

Answer:

Right triangles:

5) 0.75, 1, 1.25

6) 18, 80,82

Not right triangles:

1) 5,5,√50

2) 6.5, 3.2, 7.8

3) √2, √3, 4

4) 12, 13, 20

Step-by-step explanation:

Right triangles: (for right triangles the Pythagorean theorem is true)

6) 18² + 80² = 82²

6724=6724

5) 0.75² + 1² = 1.25²

1.5625 =1.5625

Not right triangles:

1) 5² + 5² ≠(√50)²

1250≠ 50

2) 6.5² + 3.2² ≠ 7.8²

52.49≠60.84

3) (√2)² +(√3)² ≠ 4²

5≠ 16

4) 12² + 13² ≠ 20²

313 ≠ 400

5 0

3 years ago

Read 2 more answers