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Taya2010 [7]
3 years ago
15

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the first equation is substituted into the second equation.
x + 4y = −9
2x + 5y = −6

A. 2x + 5(4y − 9) = −6
B. 2x + 5(−4y − 9) = −6
C. 2(4y − 9) + 5y = −6
D. 2(−4y − 9) + 5y = −6
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0
The answer would be D.
The only you thing you have to do is alter the first equation to isolate the x. You do that by moving the 4y to the other side, giving you:
x=(-4y-9)
Then you simply insert your new value for x into the second equation.
Hope this helps. :)
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Please help me with this question
Olegator [25]

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

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5 0
3 years ago
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked
RUDIKE [14]

<em><u>The system of equations that represents this situation are:</u></em>

q + p = 2

4q + 5p = 8

<em><u>Solution:</u></em>

Let  q be the number of hours it took Courtney to walk from her house to the beach

Let p be the number of hours it took her to walk from the beach to the park

<em><u>The entire walk took 2 hours</u></em>

Therefore,

q + p = 2 ------- eqn 1

<em><u>The  total distance Courtney walked was 8 kilometers</u></em>

Total distance = 8 km

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour

Then walked  from the beach to the park at a constant speed of 5 kilometers per hour

<em><u>Distance is given as:</u></em>

distance = speed \times time

<em><u>From her house to the beach:</u></em>

distance = 4 \times q = 4q

<em><u>From the beach to the park:</u></em>

distance = 5 \times p = 5p

We know that,

Total distance = 8 km

Therefore,

4q + 5p = 8 ------ eqn 2

<em><u>Thus the system of equations that represents this situation are:</u></em>

q + p = 2

4q + 5p = 8

8 0
3 years ago
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
Nana76 [90]

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

(-----)(x) = ----------

  s            2x + 1

8 0
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Someone please help thanks!&lt;3
love history [14]

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

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Orlando bought a number of hats at equal cost for $500. He sold all but 2 for $540 at a profit of $5 for each item. How many hat
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I think that the answer is seven but i’m not sure
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