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IrinaVladis [17]
3 years ago
6

Solve each equation by substitution

Mathematics
2 answers:
Artemon [7]3 years ago
5 0

Answer:

(1, 7)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 3x + 4

y = 6x + 1

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                              3x + 4 = 6x + 1
  2. Subtract 3x on both sides:           4 = 3x + 1
  3. Subtract 1 on both sides:              3 = 3x
  4. Divide 3 on both sides:                 1 = x
  5. Rewrite:                                          x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = 6x + 1
  2. Substitute in <em>x</em>:                                     y = 6(1) + 1
  3. Multiply:                                                y = 6 + 1
  4. Add:                                                      y = 7
Aneli [31]3 years ago
4 0

Answer:

<em>(1, 7) </em>

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

<em>(1, 7)</em>

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11111nata11111 [884]
What’s the question?
8 0
3 years ago
Shayla is 5 feet tall and casts a shadow 2 feet long. at the same time, a nearby lamppost casts a shadow 8 feet long. write and
777dan777 [17]
Here is a proportion

5/2 = x/8

2x = 40
/2      /2

x = 20

Hope this helps
6 0
3 years ago
Read 2 more answers
Just the answer please
nordsb [41]

Answer:b is the right choice hopefully dont be mad if it is wrong

Step-by-step explanation:

3 0
3 years ago
A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. Th
Alja [10]

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

<u>Therefore, salesman is not correct</u>

6 0
3 years ago
Identify the percent of change as an increase or a decrease. 4/5 to 3/5
vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0
4 years ago
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