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siniylev [52]
2 years ago
6

Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol

ution to the system? ( , ).
Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

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Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step
Lostsunrise [7]

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

6 0
3 years ago
Read 2 more answers
The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

6 0
3 years ago
Tyler’s brother earns $14 per hour. The store offers him a raise... an 8% increase per hour. After the raise, how much will Tyle
GaryK [48]
He will make $15.12 a hour from the raise.
3 0
2 years ago
How many solutions does a triangle with side lengths a = 6, a equals 110 degree , and b = 10 have?
Lelu [443]
The Answer is 0. No solution
8 0
3 years ago
Read 2 more answers
87.5 - 23.4 *<br> O 64.1<br> O 110.9<br> 054.1
Mashcka [7]

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

<h2>1st Option : 64.1</h2>

Hope it helps!

Brainliest pls!

Follow me! ;)

7 0
3 years ago
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