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3 years ago

X + y = -4y = -x + 5

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

$(x,y)=(\frac{25}{9},-\frac{5}{9} )$

Step-by-step explanation:

$\left \{ {{x+y=-x+5} \atop {-4y=-x+5}} \right.$

Simplify the expressions

$\left \{ {{2x+y=5} \atop {x-4y=5}} \right.$

Multiply both sides by -2

$\left \{ {{2x+y=5} \atop {-2x+8y=-10}} \right.$

Eliminate one variable by adding the equations

$9y=-5$

Divided both sides by 9

$y=-\frac{5}{9}$

Substitute the value of y into the equation

$2x-\frac{5}{9} =5$

Solve the equation

$x=\frac{25}{9}$

A possible solution is

$(x,y)=(\frac{25}{9} ,-\frac{5}{9} )$

If you need help with anything else just message me.

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Step-by-step explanation:

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3 years ago

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Answer:

a) 2b = 3g

b) 3p = b

Step-by-step explanation:

Given:

Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min

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Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.

Therefore,

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Cross multuply

$2b = 3g$

The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.

b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.

Given flow rate of purple hydrant, p = 500

It could also be re-written as:

$\frac{3}{3} * 500$

$p = \frac{1500}{3}$

Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.

$p = \frac{b}{3}$

Cross multiply

3p = b

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X + y = -4y = -x + 5​

X + y = -4y = -x + 5