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maks197457 [2]
3 years ago
7

Solve the system of equations using subtraction. 2x-4y= -12 2x+y=8 plz help

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

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3 0
4 years ago
Do you A) Mutiply B) Add C) Subtract or D) Divide when using unit rates
kramer
The answer is going to be divide. hope that helped
3 0
4 years ago
Read 2 more answers
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
Alekssandra [29.7K]
The answer is 9

u - the unit digit
t - the tenth digit
So, the original two digit number will be: 10t + u.
<span>The reversed two-digit number will be: 10u + t
</span>
Five times the sum of the digits of a two-digit number is 13 less than the original number is: 5(u + t) = 10t + u - 13
four times the sum of its two digits is 21 less than the reversed two-digit number: 4(u + t) = 10u + t - 21

Thus, we have two equations:
5(u + t) = 10t + u - 13
4(u + t) = 10u + t - 21
_______________
Multiply the factor:
5u + 5t = 10t + u - 13
4u + 4t = 10u + t - 21
_______________
Rearrange:
5u + 5t - 10t - u = -13
4u + 4t - 10u - t = -21
_______________
4u - 5t = -13
-6u + 3t = -21
_______________
Multiply the first equation by 3, and the second by 2:
4u · 3 - 5t · 3 = -13 · 3
-6u · 2 + 3t · 2 = -21 · 2
________________
12u -15t = -39
-12u + 6t = -42
________________
Add these two equations to make one equation:
12u - 15t - 12u + 6t = -39 - 42
________________
12u can be canceled out:
-9t = - 81
________________
t = -81/-9
<span>t = 9
________________
</span>Replace t in one of the equations:
4u - 5 · 9 = -13
4u - 45 = -13
4u = -13 + 45
4u = 32
u = 32/4
<span>u = 8
</span>
Therefore, t = 9, u = 8
The original two digit number will be: 10t + u = 10·9 + 8 = 90 + 8 = 98
The reversed two-digit number will be: 10u + t = 10·8 + 9 = 80 + 9 = 89

The difference of the original two-digit number and the number with reversed digits is 98 - 89 = 9
7 0
3 years ago
Which amount is less 250 mL or 250 L
schepotkina [342]
To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.
8 0
3 years ago
What’s the answer? I really need help
Alexandra [31]

Answer:

its D

Step-by-step explanation:

5 0
3 years ago
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