All categories

3 years ago

Solve the system of equations by substitution 3x+y=9z

Mathematics

1 answer:

poizon [28]3 years ago

3 0

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

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

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

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

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

to check if you are correct put the value of x and y into either equation 1 or equation 2.

3x+y=9.............................. equation 1

3( 1.27) + 5.18 = 9

3.81 + 5.18 = 9

9 = 9

You might be interested in

A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a f

Dima020 [189]

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

7 0

3 years ago

. Data was collected on shoulder girth and height of a group of 25 individuals. The mean shoulder girth is 107.20 cm with a stan

snow_lady [41]

Answer:

ion even know

Step-by-step explanation:

6 0

3 years ago

A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area?

rusak2 [61]

Answer:

Step-by-step explanation:

12×1.5=18

its the same formula with rectangle cz if you combine both right angled triangle side its become a rectangle

4 0

3 years ago

Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\

Katen [24]

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2} }} \end{gathered}$}} \end{gathered}$}$

8 0

2 years ago

Read 2 more answers

If y = kx, and x = 3 and y = 15, calculate k.

kenny6666 [7]

Answer:

k = 5

Step-by-step explanation:

Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:

x = 3

y = 15

15 = 3k

Now we divide 3 from both 3x and 15 to segregate the variable x:

15/3 = 3k/3

5 = k

Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.

y = kx

15= (5)(3)

15 = 15

Tada, I hope this helps you!

6 0

3 years ago

Read 2 more answers