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Semmy [17]
3 years ago
5

Solve the following system of equations using elimination: 13x + 5y = 16 2x - 8y = 20

Mathematics
1 answer:
Natalka [10]3 years ago
3 0
13x + 5y = 16
2x - 8y = 20

Multiply the equations;

13x + 5y = 16 [x2]
2x - 8y = 20 [x13]

26x + 20y = 32
26x - 104y = 260

Reverse the signs on one equation;

26x + 20y = 32
-26x + 104y = -260

'-26x' gets cancelled, leaving;

20y = 32
104y = -260

20y + 104y = 124y
32 - 260 = -228

124y = -228

y = -228 / 124

y = -1.84

Substitute in one equation and find 'x'. 

Hope this helped! :)
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50% more than what number is 20% less than 60% more than 10?
k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16;  x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

6 0
3 years ago
Please help me! (I'm new to Algebra)
KiRa [710]

Answer:

part A is crosby is correct because when u see multiplying by exponents, the exponents are gonna be added.

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Step-by-step explanation:

hope this helps

4 0
3 years ago
Is the statement​ "Two fundamental questions about a linear system involve existence and​ uniqueness" true or​ false? Explain.
sweet [91]

Answer:

True

Explanation:

First of all its necessary remember that a linear system is a compound of multiple equations that involve variables.

<h2>Existence:</h2>

Depending on the number of equations and the number of variables, you could determine if the linear system has a solution or not. There are 3 possibilities:

  1. If the linear system has more equations than variables could exist infinite answers.
  2. If the linear system has more variables than equations, it is considered an undetermined system and you neer more information to solve it.
  3. If the linear system has the same number of equations and variables, the system is consistent and has at least one solution.
<h2>Uniqueness:</h2>

If possibility 3 is presented, it becomes necessary know if its the only one solution or exists more than one solution.

Rgds.

5 0
3 years ago
marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t
Scorpion4ik [409]
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

<span>26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.</span>
3 0
3 years ago
Rewrite using a single positive exponent.<br> 78<br> 73
vivado [14]
Hey! I don’t know if this is what you mean.. but I tried to understand it.

78^1
73^1

Have a good day :)
3 0
3 years ago
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