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MrRa [10]
2 years ago
13

2x-3y=1 2x+3y=2 describe the process of using addition to show that the lines are intersecting

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
4 0

Two lines in a plane can intersect,overlap or be parallel.When two lines intersect they have a common point which lies on both line.This is called solution of the two simultaneous equation which when graphed represent straight lines. Adding the two equations uses  Elimination method to solve for x and y. The x and y value obtained is the common point lying on both the lines.

2x - 3y = 1

+ 2x + 3y = 2  

4x =3 Or x=3/4

Substituting x value in any of the two-equation we can find the corresponding y value .

2x-3y=1

2(3/4) - 3y =1

Solving for y

y= 1/6

The point of intersection of the two lines is ( 3/4, 1/6)

Learn more about simultaneous equation here:brainly.com/question/16863577

#SPJ4

You might be interested in
What equation defines a line that intersects the graph of 6x-2y=10 exactly once?
leva [86]

Any line with a slope different than 3 will intercept the given line only once.

<h3>What equation defines a line that intersects the graph?</h3>

The answer will be any line that is not parallel (nor the same) to the given line.

Remember two lines are parallel if the lines have the same slope and different y-intercept

In this case, the given linear equation is:

6x - 2y = 10

y = 3x - 5

So the slope is 3 and the y-intercept is -5.

Then, any line with a slope different than 3 will intercept this line only once.

An example can be:

y = 314*x

If you want to learn more about linear equations:

brainly.com/question/4025726

#SPJ1

6 0
2 years ago
Graph y=2x+4 in a coordinate plane
KatRina [158]
I attached a picture

4 0
3 years ago
Which is the largest?<br> O 5.42<br> O 5 1/2<br> O 5.2<br> O 5.25
jeka57 [31]

Answer:

5 1/2

Step-by-step explanation:

5 42 is less than 5.50= 5 1/2, 5.2 is = 5.20 which is agian smallier than 5.50 and same with 5.25.

6 0
3 years ago
I need some help does anyone know the answer to this? 20 points!!
PIT_PIT [208]

Answer:

C

Step-by-step explanation:

5(4) over 6(4) makes more sense than the others do

4 0
3 years ago
XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi
Rashid [163]

Answer:

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

X'(x,y) = X(x,y) + T(x,y) (1)

Where T(x,y) is the vector translation.

If we know that X(x,y) = (2,3) and X'(x,y) = (4,7), then the vector translation is:

T(x,y) = X'(x,y)-X(x,y)

T(x,y) = (4,7) - (2,3)

T(x,y) = (2, 4)

Then, we determine the coordinates for Y' and Z':

Y'(x,y) = Y(x,y) + T(x,y)

Y'(x,y) = (1,4) + (2,4)

Y'(x,y) = (3, 8)

Z'(x,y) = Z(x,y) + T(x,y)

Z'(x,y) =(8,9) + (2,4)

Z'(x,y) = (10, 13)

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

7 0
3 years ago
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