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PilotLPTM [1.2K]
2 years ago
7

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many mor

e points did she score in the second game?
Mathematics
1 answer:
Marianna [84]2 years ago
3 0
35=(6*x)+x
35=6x=x
35=7x   / divide each side by 7
5=x

x= the first game

5*6= 30

30 points in the second game


Good Luck!
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Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.
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Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
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Solve the system of linear equations using multiplication.
Anna71 [15]

Answer:

(8,-1)

Step-by-step explanation:

The given system is:

3x+3y=21

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Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

x+y=7

x+2y=6

We could solve the first equation for x and replace the second x with that.

Let's do that.

x+y=7

Subtract y on both sides:

x=7-y

So we are replacing the second x in the second equation with (7-y) which gives us:

(7-y)+2y=6

7-y+2y=6

7+y=6

y=6-7

y=-1

Now recall the first equation we arranged so that x was the subject. I'm referring to x=7-y.

We can now find x given that y=-1 using the equation x=7-y.

Let's do that.

x=7-y with y=-1:

x=7-(-1)

x=7+1

x=8

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

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3(8)+3(-1)=21

24+(-3)=21

21=21 is a true equation so the "solution" looks promising still.

6x+12y=36 with (x,y)=(8,-1):

6(8)+12(-1)=36

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36=36 is also true so the solution has been verified since both equations render true for that point.

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