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MArishka [77]
3 years ago
6

Solve the system of equations by substituting 15x+31y=−3 x=−y+3 ​

Mathematics
2 answers:
alekssr [168]3 years ago
6 0

Answer:

x=6   y=-3

Step-by-step explanation:

Angelina_Jolie [31]3 years ago
4 0

Answer:

x=6

y=-3

Step-by-step explanation:

Substitute (-y + 3) for x in the first equation:

15(-y+3)+31y=-3

Expand:

45-15y+31y=-3

Simplify:

45+16y=-3

Subtact 45 from both sides:

16y=-48

Divide both sides by 16:

y=-3

Substitute -3 for y in either equation:

x=-(-3)+3

x=6

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62.4% of what is 17.16?
Maksim231197 [3]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.16 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 17.16 is 100%, so we can write it down as 17.16 = 100%.

4. We know, that x is 62.4% of the output value, so we can write it down as x=62.4%

5. Now we have two simple questions:

1) 17.16 = 100%

2) x=62.4%

Where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

17.16÷x=100%÷62.4%

6. Now we just have to solve the simple equation, and we will get the  solution we are looking for.

7. Solution for what is 62.4% of 17.16

17.16÷x=100/62.4%

(17.16÷x)×x=(100÷62.4%)×x

17.16=1.60256410256×x

(1.60256410256) to get x

17.16÷1.60256410256=x

10.70784=x

x=10.70784

Now we have:
62.4% of 17.16=10.70784

So 10.70784 is your answer

Hope this  helps :)



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