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3 years ago

How to solve 3 variable systems

1 answer:

4 0

<span>Pick two pairs: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Eliminate the same variable from each system: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Solve the system of the two new equations: -5y - 5z = - 10. 5y - 7z = 34. ... Substitute into one of the original equations: - x + 2y - 5z = 17. ... <span>Check: Does 2(1) + 4 + 3(- 2) = 0 ? Yes.</span></span>

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35÷10=? in decimal form

spin [16.1K]

Answer:

3.5

Step-by-step explanation:

35 divided by 10 equals 3.5 .

4 0

3 years ago

⦁ If we add 5 to the denominator and subtract 5 from the numerator of a fraction, it becomes . If we subtract 3 from the numerat

natima [27]

the complete question is

If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.

Let

x/y-----------> the fraction

we know that

(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1

(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2

equate equation 1 and equation 2

7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7

y=3x-12------> y=3*7-12-----> y=9

x/y=7/9

the answer is

the fraction is 7/9

5 0

3 years ago

Suppose that a cyclist began a 476

mojhsa [17]

Well, we know the cyclist left the western part going eastwards, at the same time the car left the eastern part going westwards

the distance between them is 476 miles, and they met 8.5hrs later

let's say after 8.5hrs, the cyclist has travelled "d" miles, whilst the car has travelled the slack, or 476-d, in the same 8.5hrs

we know the rate of the car is faster... so if the cyclist rate is say "r", then the car's rate is r+33.2

thus $\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{eastbound cyclist}&d&r&8.5\\
\textit{westbound car}&476-d&r+33.2&8.5
\end{array}\\\\
-----------------------------\\\\
\begin{cases}
\boxed{d}=8.5r\\\\
476-d=(r+33.2)8.5\\
----------\\
476-\boxed{8.5r}=(r+33.2)8.5
\end{cases}$

solve for "r", to see how fast the cyclist was going

what about the car? well, the car's rate is r + 33.2

6 0

3 years ago

Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 2/3. What is the value of x?

trasher [3.6K]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

10.5 maps to x with a scale factor of 2/3:

x = 10.5 × 2/3

x = 7

6 0

3 years ago

If a rectangular prism was cut in half, what would happen to its volume?

notsponge [240]

Answer:

1/4

Step-by-step explanation:

4 0

2 years ago