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Zigmanuir [339]
3 years ago
9

x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)

Mathematics
2 answers:
maria [59]3 years ago
6 0
The lines intersect at (1, -1)

hope it helps!!
lesantik [10]3 years ago
4 0

Answer: The correct answer is (1,-1).

Explanation:

The given equations are,

x-2y=3      ..... (1)

5x+3y=2    ..... (2)

Use elimination method to solve the equations.

Multiply equation (1) by 5.

5(x-2y)=5(3)

5x-10y=15  ..... (3)

Subtract equation (3) from equation (2).

5x+3y-(5x-10y)=2-15

5x+3y-5x+10y=-13

13y=-13

y=-1

The y-coordinate is -1.

Put y=-1 in equation (1).

x-2(-1)=3

x+2=3

x=3-2

x=1

The x-coordinate is 1.

Therefore the intersection point is (1,-1).

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Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form.
Lunna [17]

Answer:

y = 1/2x -3

x=-2 ⇒ y =  -4

x=-1 ⇒ y =  -3.5

x=0 ⇒ y =  -3

x=1 ⇒ y =  -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3  

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
B is the midpoint of AC. If AB= X +5 and BC = 2X -11, find the measure of AB
Murljashka [212]
First, you know that B is the mid point, meaning AB is equal to BC. Therefore, you can set up the equation: x+5=2x-11. Then, you solve for x. Once you are done solving, you should get 16. Hope this helps!
5 0
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