If 2y - x = 8 , and 3x - y = 1, what is the value of x ?

2 answers:

6 0

Order in ax+by=c form
-1x+2y=8 and
3x-y=1
cancle y's
multiply 2nd equation by 2
and add to first

-1x+2y=8
<u>6x-2y=2 +</u>
5x+0y=10

5x=10
divide both sides by 5
x=2

the value of x is 2

vlabodo [156]3 years ago

3 0

Hello.

The answer to your question is
x = 2
and y = 5

Have a great day!

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Which ordered pair is a solution of the equation y=-5/4x -2

Anettt [7]

Answer:

Step-by-step explanation:

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4 0

3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?

vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(14)^{2}$ + $(13)^{2}$

= 196 + 169 = 365

$(diagonal)^{2}$ = 365

diagonal = $\sqrt{365}$ = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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4 0

2 years ago

R - 9S = 2 3R - 3S = -10

GrogVix [38]

R-9s=2 add 9s to both sides

r=2+9s making 3r-3s=-10 become:

3(2+9s)-3s=-10 perform indicated multiplication on left side

6+27s-3s=-10 combine like terms on left side

6+24s=-10 subtract 6 from both sides

24s=-16 divide both sides by 24

s=-16/24

s=-2/3, making r-9s=2 become:

r-9(-2/3)=2 perform indicated multiplication on left side

r+6=2 subtract 6 from both sides

r=-4

So s= -2/3 and r= -4

8 0

3 years ago

Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of si

ki77a [65]

$\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}$