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SVETLANKA909090 [29]
3 years ago
7

Two numbers total 61 and have a difference of 33. Find the two numbers

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

x,\ y-the\ numbers\\\\\underline{+\left\{\begin{array}{ccc}x+y=61\\x-y=33\end{array}\right}\qquad\text{add both sides of equations}\\\\.\qquad2x=94\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=47}\\\\\text{Put the value of x to the first equation}\\\\47+y=61\qquad\text{subtract 47 from both sides}\\\\\boxed{y=14}\\\\Answer:\ \boxed{\boxed{47\ and\ 14}}

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Solve the following system of equations for all three variables.
nignag [31]
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 5x -  2y + 1z = 8
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            -22    -22
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5(-1) - 2y + 3 = 8
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Students in a class have to choose 4 out of 7 people who were nominated for the student council. How many different groups of st
Lady_Fox [76]

Answer:

35

Step-by-step explanation:

3 0
3 years ago
Plsss help no one answered the other times I put this question
svetlana [45]

Answer:

a) <em>The equation</em> (10s + 8w) <em>represents </em><em>the </em><em>calories </em><em>Bridget </em><em>ate </em><em>on </em><em>Monday </em><em>and </em><em>the </em><em>equation</em> (20s + w) <em>represents </em><em>the </em><em>calories</em><em> </em><em>she </em><em>ate</em><em> </em><em>the </em><em>next </em><em>day.</em>

<em>b)</em><em> </em><em>The </em><em>number </em><em>of </em><em>calories</em><em> </em><em>in </em><em>each </em><em>strawberry</em><em> </em><em>is </em>4 <em>and </em><em>the </em><em>number </em><em>of </em><em>calories </em><em>in </em><em>each </em><em>vanilla</em><em> </em><em>wafer</em><em> cookie</em><em> </em><em>is </em>19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is <em>s</em> and the number of calories in a vanilla wafer cookie is <em>w </em>, the number of calories Bridget ate on Monday is <em>10s + 8w</em><em>.</em><em> </em>The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s<em> + w</em>.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

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Step-by-step explanation:

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2.  Add -4b + 3b = -b

-b - 3/2

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2 years ago
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