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2 years ago

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16

Mathematics

1 answer:

GaryK [48]2 years ago

3 0

Step-by-step explanation:

x = -4y + 6

Now,

Substituting the value of x on 2x + 9y = 16, we get -.

2(-4y + 6) + 9y = 16

-8y + 12 + 9y = 16

y = 16 - 12

Now,

Substituting the value of y on 2x + 9y = 16, we get -

2x + 9(4) = 16

2x = 16 - 36

2x = -20

Hence,

The value of x is -10 and y is 4.

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Solve step by step solution then only i can do it plxx

Anuta_ua [19.1K]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

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3 years ago

Can someone help me please I’ll mark u as brainliest

Sunny_sXe [5.5K]

Hi yes what do u need help with??

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3 years ago

Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How

34kurt

Assume E represents the cost of an egg and T represents the cost of one piece of toast.

We can construct two equations :
2E + T = $3.00 - - - - - (a)
E + T = $1.80 - - - - - (b)

Subtract equation b from a:
E = $1.20 (The price of one egg)

To find out the price of one piece of toast, replace the price of one egg in equation b:
T = $1.80 - $1.20 = $0.60 (The price of one piece of toast)

Hope that helps you

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3 years ago

3x^2-5=43 how do i solve this using the square root property

slava [35]

Answer:

x = 4

x = -4

Step-by-step explanation:

bro i dont know but i hope this help a little, sorry

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3 years ago

A=5 and b=-5 , 2ab-a^(2)

luda_lava [24]

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

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2 years ago

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16​

Solve the system by substitution. x = – 4y + 6 2x + 9y = 16