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NeX [460]
3 years ago
11

1. Solve and verify each of the following systems of linear equations.

Mathematics
2 answers:
kakasveta [241]3 years ago
6 0
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ <u>10x - 5y =    5</u>
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                       <u>      - 34 - 34</u>
                               <u>5x</u> = <u>-40</u>
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ <u>10x +   4y =     32</u>
                                     <u>11y</u> = <u>2128</u>
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
              <u>     - 580.3636364  - 580.3636364</u>
                                       <u>2x</u> = <u>-148.3636364</u>
                                        2                2
                                         x = -74.1818182
                                   (x, y) = (-74.1818184, 193.4545455)
Alik [6]3 years ago
4 0

Answer:

A.

5x-2y= -6-------(1)

2x-y= 1------(2)

Equation (1) - 2 × Equation (2)

→5x-2y-4x+2y= -6 -2

Adding and Subtracting like terms

→x= - 8

Putting the value of x in equation 2

→2×(-8) -y =1

→-16 -y=1

Adding 16 on both sides of equation

→-y=16+1

→y = -17

x= -8, and y= -17

B

2x + 3y = 432------(3)

5x – 2y = 16---------(4)

2×Equation (3) + 3 × Equation (4)

→4x+6y+15x-6y=864+48

→19 x=912

Dividing both sides by 19, we get

x=48

Putting the value of x, in equation (3)

2× 48+3y=432

96+3y=432

 3y=432-96

3y=336

Dividing both sides by,3 we get

y=112

Solution set is equal to, x=48,y=112

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92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
3 years ago
Read 2 more answers
the eagle trucking company must deliver 7/8 ton of cement blocks and 5/8 ton of bricks how much will this load weigh?
Mademuasel [1]
This load will weigh 1.5 TONS ALTOGETHER.

So, the truck is delivering a \frac{7}{8} ton of cement blocks, and a \frac{5}{8} of bricks. To find how much this load weighs, we'd have to add the two fractions together, which proves to be quite easy, because the denominators are already the same, so we wouldn't have to change anything.

\frac{7}{8} + \frac{5}{8} = \frac{12}{8}

And now, we would want to convert that fraction into a whole number, or at least a decimal, to find how many tons the truck is carrying. So we would divide. Once the work is done, here is what would happen:

12 ÷ 8 = 1.5

And there's your answer. The truck is carrying 1.5 TONS.
4 0
2 years ago
PLEASE HELP RIGHT AWAY WILL MARK BRAINLIEST!
Blababa [14]

Answer:

<u>20/48 = 42%</u>

Step-by-step explanation:

<u>Number of beige tiles</u>

  • 48 - 8 - 6 - 9 - 5
  • 40 - 6 - 9 - 5
  • 34 - 9 - 5
  • 25 - 5
  • 20 beige tiles

<u>Probability (Beige)</u>

  • No. of beige tiles / Total no. of tiles
  • <u>20/48 = 42%</u>
3 0
1 year ago
Read 2 more answers
Which decimal is closest in value to the fraction below 1/9 ?<br>a) 0.111<br>b) .33333<br>c) 0.7
frosja888 [35]
1/9=0.11111.....
so the correct option is (a).
7 0
3 years ago
Read 2 more answers
I do not know how to this question and i need help please
maxonik [38]

Answer:

---

Step-by-step explanation:

I know this probably won't help but, your finding rate, To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

6 0
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