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Y_Kistochka [10]
2 years ago
10

Solve the system of equations below by elimination. (Show your work) 2x+3y=1 5x+7y=3

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

-2x+2y+3z=0

-2x-y+z=-3

2x+3y+3z=5

---------------

-2x+2y+3z=0

-2x-y+z=-3

---------------- Subtract

3y + 2z = 3 Eqn A

=========================

-2x-y+z=-3

 

2x+3y+3z=5

---------------- Add

2y + 4z = 2

6y + 4z = 6 Eqn A times 2

------------------------------------ Subtract

-4y = -4

y = 1

-----------------

z = 0

-------------------

x = 1

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7 0
3 years ago
Someone please Solve 3 (x - 1) = 6. Thank you
kramer
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.

It is used like this: a(b + c) = ab + ac.

Use the distributive property on the left-hand side.

3(x - 1) = 6
3x - 3 = 6

Now we have an equation that is easier.

The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.

3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
                  And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
                So, I divided both sides by 3.

So, x is equal to 3.
3 0
3 years ago
a deli offers up 12 different toppings on their sub sandwiches. How many different 4-topping sandwiches are possible?
jek_recluse [69]

Answer:

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Step-by-step explanation:

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2 years ago
A new fast-food restaurant offered a free meal (valued at $5) a week for a year to its first 100 customers. Ramona camped out fo
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Answer:

$260

Step-by-step explanation:

Since Ramona will get $5 worth meal in a week for a year, and there are 52 weeks in a year.

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A line passes through the points (4, -1) and (2, 3). What is the slope of the line?
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Answer:

-2

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4 0
3 years ago
Read 2 more answers
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