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3 years ago

Solve the system graphically 1. x-2y=6 and 3x+2y=-6 2. x-y=0 and 2x+3y=-5

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Step-by-step explanation:

1)The given equations are:

x − 2y = 6 ...(i)

3x − 6y = 0 ...(ii)

Putting x = 0 in equation (i) we get

=> 0 - 2y = 6

=> y = -3

x = 0, y = -3

Putting y = 0 in equation (i) we get

⇒x-2×0=6

⇒x=6

x = 6, y = 0

Use the following table to draw the graph

x 0 6

y -3 0

Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn

Graph of the equation ..(ii)

3x - 6y = 0 ...(ii)

Putting x = 0 in equation (ii) we get

⇒3×0-6y=0

=> y = 0

x = 0, y = 0

Putting x = 2 in equation (2) we get

⇒3×2-6y=0

=> y = 1

x = 2, y = 1

Use the following table to draw the graph.

x 0 2

y 0 1

Draw the graph by plotting the two points O(0,0) and D(2,1) from table

We see that the two lines are parallel, so they won’t intersect

Hence there is no solution

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Em 1 Graph the system of equations. { x−y=6 ,4x+y=4

muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. $x-y=6 ,4x+y=4$

First we will find value of x and y

Let:

$x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)$

Add eq(1) and eq(2)

$x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2$

Putting value of x in eq(1) and finding y

$x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4$

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

4 years ago

You go to the store and pick out 3 apples for $0.60 each, 2 bananas for $0.50 each, and 1 quart of yogurt for $4.50. At checkout

Stella [2.4K]

Answer:

$6.21

Step-by-step explanation:

1 apple = $0.60

3 apples = $1.80 (Multiply 0.60 by 3)

2 bananas = $1.00 (Multiply 0.50 by 2)

1 quart of yoghurt = $4.50

Add the prices up first:

1.80 + 1.00 + 4.50 = $7.30

7.30 off 15% = $6.21

5 0

4 years ago

You are going to meet a friend at the airport. Your experience tells you that the plane is late 70% of the time when it rains, b

Feliz [49]

Answer:

0.4

Step-by-step explanation:

Probability of rain = P(R)

Probability of late plane = P(L)

So, the probability of no rain = P(R')

Breaking it down

If it rains, 40% chance, P(R) = 0.4

That the plane would be late if it rains = 70% × 40%, that is, P(R n L) = 0.7 × 0.4 = 0.28, 28% of the total chance.

That the plane would be on time if it rains = 30% × 40%, that is, P(R n L') = 0.3 × 0.4 = 0.12, 12% of the total chance.

If it doesn't rain, 60% chance, P(R') = 1 - P(R) = 1 - 0.4 = 0.6

That the plane would be late if it doesn't rain = 20% × 60%, that is, P(R n L') = 0.2 × 0.6 = 0.12, 12% of the total chance.

That the plane would be on time if it doesn't rain = 80% × 60%, that is, P(R' n L') = 0.8 × 0.6 = 0.48, 48% of the total chance.

So, probability that the plane would be late = P(L) = P(R n L) + P(R' n L) = 0.28 + 0.12 = 0.4 = 40%

6 0

3 years ago

What is the measure of

Aneli [31]

Not sure what the measure of ____ is, can you specify?

8 0

3 years ago

Did I do this correctly??

inessss [21]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago