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ki77a [65]
3 years ago
5

Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer: x=2

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point (x,y) in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2

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Answer:

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Step-by-step explanation:

The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.

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3 years ago
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t
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389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

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Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613    Eqn 1

1.75x+2.25y=1184.75    Eqn 2

Multiplying Eqn 1 by 1.75

1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224

Putting y=224 in Eqn 1

x+224=613\\x=613-224\\x=389\\

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/11236033
  • brainly.com/question/11306893

#LearnwithBrainly

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Step-by-step explanation:

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