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3 years ago

Use the substitution method to solve the system of equations. y=-8x and 4x-y=3

Mathematics

1 answer:

Artyom0805 [142]3 years ago

5 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2$

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PLSS HELP NO BOTS!!!!

inn [45]

Answer:

x = 3; y = 11

Step-by-step explanation:

The quadrilateral is a parallelogram if both pairs of opposite sides are congruent.

3y - 9 = 2y + 2

y = 11

3x + 6 = y + 4

3x + 6 = 11 + 4

3x = 15 - 6

3x = 9

x = 3

Answer: x = 3; y = 11

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2 years ago

Read 2 more answers

A population of 280 flying squirrels in a town in Honduras is growing at a rate of 9% every 6 months. How many squirrels will th

VMariaS [17]

The 470 squirrels will be in 3 years, if a population of 280 flying squirrels in a town in Honduras is growing at a rate of 9% every 6 months.

Step-by-step explanation:

The given is,

280 flying squirrels

Growing at a rate of 9% every 6 months

Step:1

Formula to calculate the squirrels,

$y = A (1+r)^{t}$ ...........................(1)

where, A = Initial count

r = Growing rate

t = Time

From the given,

A = 280 squirrels

r = 9 % = 0.09

t = 6 ( Growing rate is given for 6 months, for 3 years 36 months available, so t = $\frac{36}{6}$ = 6)

From equation (1),

$y =280(1+0.09)^{6}$

$= 280 (1.09)^{6}$

= (280)(1.6771)

= 469.588

Squirrels after 3 years, y ≅ 470 squirrels

( or )

Step:1

Year will be converted to months,

3 years = 36 months

For 6 months,