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Evgesh-ka [11]
3 years ago
6

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys

tem with the same solution? 5x + 3y = 5 8x + 2y = 6
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

See explanation for the incorrect step.

Step-by-step explanation:

The steps for solving simultaneous equations by elimination method are;

  • Naming the equations (i) and (ii)
  • Multiplying each equation by a suitable number so that the two equations have the same leading coefficients
  • Subtracting the second equation (ii) from the first equation (i)
  • Solving the new equation for value of x or y
  • Substituting the value of x or y in equation (i) or (ii)
  • Getting the solutions

In this case, the equations are;

5x+3y=5-------------- (i)

8x+2y=6-------------- (ii)

--------------multiplying equation (i) by 2 and (ii) by 3

10x+6x=10

24x+6y=18

-------------------performing subtraction

14x=8 --------divide both sides by 14 to remain with x

14x/14 =8/14

x=8/14 = 4/7

Substitute value of x in equation (i)

5(4/7) +3y =5

20/7 +3y =5 -------collect like terms

3y= 5- 20/7

3y=15/7

y=5/7

Learn More

Elimination Method :brainly.com/question/11962747

Keywords: system, equations,elimination method, incorrect,step,solution

#LearnwithBrainly

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Answer: V=51\ \frac{mi}{h}

Step-by-step explanation:

You need to used the following formula:

V=\frac{d}{t}

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is \frac{1}{3}\ h) and the distance is 17 miles. Then, you can identify that:

t=\frac{1}{3}\ h\\\\d=17\ mi

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}

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Step-by-step explanation:

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Step-by-step explanation:

6 0
3 years ago
Name : Teacher: Word Problems Score: Date : Tom has 24 blue balloons. He wants to give his six friends the same number of blue b
Karo-lina-s [1.5K]

Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.

As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.

To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.

We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,

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  • Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
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To learn more about Linear Equations, click on the link below.

brainly.com/question/27664510

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3 0
1 year ago
yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the
mr Goodwill [35]

9514 1404 393

Answer:

  • area: 524 cm²
  • perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

4 0
3 years ago
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