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zhannawk [14.2K]
3 years ago
9

Solve the system of linear equations below.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Let's use the addition/elimination method to solve this.  If we multiply the first equation through by -1 we can eliminate the x terms.  Doing that gives us:

 -x  +  3y  =  3

  x  +  3y  =  9

The x's subtract each other away leaving us with

6y = 12 so

y = 2.

Now we will plug in 2 for y in either of the original equations to solve for x:

x + 3(2) = 9 and

x + 6 = 9 so

x = 3

The coordinate for the solution is (3, 2) or x = 3, y = 2

The second choice down is the one you want.

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DIstributive property to match equivalent expression 7(-4-x)
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Step-by-step explanation:

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Is x ^ 2 + y ^ 2 = 6 a function?
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Answer:

not a function

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for example

In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.

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What is the solution of the equation 37=6x + 10 ?
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6 0
3 years ago
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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

6x+12y=36

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.

3x+3y=21 with (x,y)=(8,-1):

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

48+(-12)=36

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

5 0
3 years ago
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