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VikaD [51]
3 years ago
14

Solve the system using substitution.

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

Substitution method is one of the ways to solve this system.

-5x+y=4 and 4x-4y=16.

First we will divide the second equation with number 4 and get

x-y=4 => x=y+4 than we will replace x in the first equation

-5(y+4)+y=4 => -5y-20+y=4 => -4y=4+20 => -4y=24 => y=-6

x-(-6))=4 => x+6=4 => x=4-6=-2    (x,y)=(-2,-6)

Good luck!!!

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6 0
3 years ago
The sum of negative eighteen and a number is eleven. What is the number?
Oksanka [162]

Answer:

29

Step-by-step explanation:

-18 (Negative Eighteen) = A

29 (Positive Twenty Nine) = B

11 (Positive Eleven) = C


First, make A positive, and add C to it. You get B.

Now here is the equation:

-18 + (18 + 11)


-18 + (29)


11

5 0
3 years ago
What is 3x + 1 - 8x + 12
Eddi Din [679]
3x + 1 - 8x +12 =
so 8x - 3x =5x 
1 + 12= 13
so answer is 5x+13
7 0
3 years ago
Read 2 more answers
A car can travel 38 miles on each gallon of gasoline at that rate how many gallons of gasoline take to travel 190
Lostsunrise [7]
The answer is 5 because if you divide 190 by 38, you get 5.

4 0
3 years ago
Read 2 more answers
16x² -9 = 4ײ + (4x²+9)
lesya [120]

For this case we must solve the following equation:

16x ^ 2-9 = 4x ^ 2 + (4x ^ 2 + 9)

We remove the parentheses on the right side:

16x ^ 2-9 = 4x ^ 2 + 4x ^ 2 + 9

We add similar terms on the right side:

16x ^ 2-9 = 8x ^ 2 + 9

We subtract 8x ^ 2from both sides of the equation:

16x ^ 2-8x ^ 2-9 = 9\\8x ^ 2-9 = 9

We add 9 to both sides of the equation:

8x ^ 2 = 9 + 9\\8x ^ 2 = 18

We divide by 8 on both sides of the equation:

x ^ 2 = \frac {18} {8}\\x ^ 2 = \frac {9} {4}

We apply square root to both sides of the equation:

x = \pm \sqrt {\frac {9} {4}}

We have two roots:

x_ {1} = \frac {3} {2}\\x_ {2} = - \frac {3} {2}

Answer:

x_ {1} = \frac {3} {2}\\x_ {2} = - \frac {3} {2}

4 0
3 years ago
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