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3 years ago

Solve this simultaneous equation x+2y=11 x-2y=1

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer:

Equation 1,

$x + 2y = 11$

Equation 2,

$x - 2y = 11$

Take equation number 2.

$x - 2y = 11 \\ x = 11 + 2y$

Substitute 'x' in Equation number 1.

$x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0$

y = 0.

So x,

$x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11$

x = 11.

Olegator [25]3 years ago

6 0

Answer:

using elimination method multiply both equations by 2...then subtract equation 2 from 1

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A ball, with an initial position of x = 25.89 meters, undergoes a displacement of 32.2 meters. What is it’s final position?

Snowcat [4.5K]

Answer:

The answer is 58.09

Step-by-step explanation:

To get the final position, you add the displacement to the initial position.

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Final position = 58.09metres

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3 years ago

Y=4x-6 and passes through point 8,12

umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

$y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20$

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

$y=mx+b\\y=4x-20$

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

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Using slope m=-1/4 and point (8,12) we can find y-intercept

$y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14$

y-intercept of new line is: b=14

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$y=mx+b\\y=-\frac{1}{4} x+14$

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2 years ago

pleaseee help context is down below $3 is the entrance fee while $.50 is for each game played that's enough evidence to solve C(

BabaBlast [244]

C= Cost
g= # of times games played

C = 0.50g + 3

C(0) = 0.50(0) + 3
C(0) = 0 + 3
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2 years ago

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sasho [114]

Answer:

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fenix001 [56]

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