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3 years ago

Use the linear combination method to solve this system of equations. What is the value of x?

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

X=1 because when u put it in then u will find out.y=-1

zepelin [54]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

We are going to use the matching method, it consists in clear the same incognits in both equations and macth those results. Steps below:

First equation:

-2.4x-3.6y=1.2

-3.6y=1.2+2.4x

y=(1.2+2.4x)/(-3.6)

Second equation:

2.4x+1.2y=1.2

1.2y=1.2-2.4x

y=(1.2-2.4x)/(1.2)

Now we have to match both equations and clear the incognit x

(1.2+2.4x)/(-3.6) = (1.2-2.4x)/(1.2)

(1.2+2.4x) = (1.2-2.4x) *(-3.6)/(1.2)

1.2+2.4x = (1.2-2.4x) *(-3)

1.2+2.4x = -3.6+7.2x

2.4x-7.2x = -3.6-1.2

-4.8x = -4.8

x = (-4.8)/(-4.8)

x = 1

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1 year ago

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$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

Distance between the house and tower is 35 m
The height of the tower is 60 m
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$\bold{\underline{ Now}}$

Height of the house is 25m

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

Therefore,

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

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$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

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2 years ago

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scoray [572]

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Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

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To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer: 4</h3>

==========================================================

Part (b)

We use the same idea as part (a)

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g( f(-2) ) = g(5) = 6

<h3>Answer: 6</h3>

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

<h3>Answer: 5</h3>

==========================================================

Part (d)

Same idea as part (c)

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<h3>Answer: 3</h3>

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