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Anon25 [30]
3 years ago
13

Solve the system using substitution. Show your work. x = -4y + 9 x - y = 4

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0
X = -4y + 9
x - y = 4

- rearrange the second equation to x = 4 + y
- then we can plug it into x for the first equation

4 + y = -4y + 9 — then we solve for y
y = -4y + 5
5y = 5 -> y = 1

we can then plug in 1 (our y value) into the original second equation.

x - 1 = 4 -> x = 5

x = 5 & y = 1
you should put it in a coordinate layout so:
(5,1)

hope this helped !!
FromTheMoon [43]3 years ago
6 0

Answer:

please what should we found? is it the value of ×or y

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maksim [4K]

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So, (p ^ q) V (p ^ r)  will be TRUE, if either one of  (p ^ q) and (p ^ r)  or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

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5 0
3 years ago
Bobby earns $9 per hour plus commission. Last week he worked 32.5 hours
Nesterboy [21]

Answer:

Step-by-step explanation:

32.5*9=292.5

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292.5+28.75= $321.25

8 0
2 years ago
Read 2 more answers
A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

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Now we'll plug our value for x into Equation #1 and solve for y:

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         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
∠A and \angle B∠B are supplementary angles. If m\angle A=(x-16)^{\circ}∠A=(x−16) ∘ and m\angle B=(3x+28)^{\circ}∠B=(3x+28) ∘ , t
GalinKa [24]

Answer:

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Step-by-step explanation:

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Answer:

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