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Fudgin [204]
2 years ago
13

Substitution method4x + y = 146x - 3y = 3​

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

Answer:

  • x = 2.5
  • y = 4

Step-by-step explanation:

<u>We know that:</u>

  • 4x + y = 14
  • 6x - 3y = 3

<u>Let's first solve for y by choosing any equation.</u>

  • 4x + y = 14
  • => y = 14 - 4x

<u>Now, let's substitute the value of y into the second equation.</u>

  • 6x - 3y = 3
  • => 6x - 3(14 - 4x) = 3
  • => 6x - 42 + 12x = 3
  • => 18x - 42 = 3
  • => 18x = 42 + 3
  • => 18x = 45
  • => x = 45/18 = 5/2 = 2.5

<u>Now, let's substitute the value of x into the equation of y.</u>

  • => 14 - 4x = y
  • => 14 - 4(2.5) = y
  • => 14 - 10 = y
  • => y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

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3 years ago
3(x-6)^4+11=15 solve for x
Tamiku [17]

Answer:

x = 7.07 or 4.925

Step-by-step explanation:

3(x-6)^4+11=15

3(x-6)^4=15-11

(x-6)^4=4/3

x-6 = +\sqrt[4]{4/3} or -\sqrt[4]{4/3}

x= +\sqrt[4]{4/3} +6 or -\sqrt[4]{4/3}  +6

x = 7.07 or 4.925

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2 years ago
25 students are learning how to make balloon animals. There are 194 balloons to be shared equally among the students. How many b
alexdok [17]
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194 balloons

194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)

If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)

We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons, 
We have 19 left over
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6 0
3 years ago
HELP ME PLEASE 10 points!!!!!
atroni [7]

Answer:

x>9

Step-by-step explanation:

Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.

The question also asks to solve the inequality:

  1. 55+5x>100
  2. 5x>100-55 (Subtract 55 from each side)
  3. 5x>45
  4. x>9 (Divide each side by 5)

This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.

lmk if i made an error, hope this helps!!

3 0
2 years ago
6x^3+3n^2+8n+4 factor the following polynomial
Archy [21]

Answer:

x1=((2√3)/3)i

x2=-0.5

x3=-((2√3)/3)i

Step-by-step explanation:

6 0
3 years ago
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