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Effectus [21]
3 years ago
6

​​5x−4y=−10 ​−4x+5y=8 ​​Solve System of equations

Mathematics
2 answers:
MariettaO [177]3 years ago
6 0
<span>5y = 4x + 8 and y = 4x/5 + 8/5</span>
enyata [817]3 years ago
4 0
   {5x−4y=−10  ⇒ 5x = 4y-10  ⇒  x=(4y-10)/5  ⇒  x = 0.8y - 2<span>
​   {-4x+5y=8

-4(0.8y-2) + 5y = 8
-3.2y + 8 + 5y = 8
1.8y = 8 - 8
1.8y = 0
y = 0

</span>5x−4·0=−10
5x = -10
x = -10/5
x = -2

Your answer is (-2, 0)
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Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this a
monitta

Answer:

Fatima's unit rate is 9.5 minutes per mile.

Step-by-step explanation:

To compute the one unit value of a variable divide the total values of <em>n</em> variables by <em>n</em>.

It is provided that it took Fatima 19 minutes to run 2 miles.

Then the unit rate at which Fatima runs is:

\text{Unit Rate}=\frac{19}{2}

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A board 65 inches long is sawed into two pieces, so that one piece is 7 inches shorter than twice the length of the other piece
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Answer:

The length of the two pieces are 41 in and 24 in

Step-by-step explanation:

Let

x -----> the length of one piece

y ----> the length of the other piece

we know that

x+y=65 -----> equation A

x=2y-7 -----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for y

(2y-7)+y=65\\ 3y=65+7\\ 3y=72\\ y=24\ in

Find the value of x

x=2(24)-7\\ x=48-7=41\ in

therefore

The length of the two pieces are 41 in and 24 in

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