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Lilit [14]
3 years ago
7

4x-3y=1 -8x+6y=-2 elimination method

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

(4x-3y=1)×2

8x-6y=2

8x-6y+(-8x+6y)=2+(-2)

8x-8x=0

0=0

apply it ,

4×0-3y=1

-3y=1

y=-1/3

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∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Alex787 [66]

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

6 0
3 years ago
How big will the Universe be in 999 nonillion years?
Andru [333]

Answer:

it will be 5x the size it is now

Step-by-step explanation:

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3 years ago
The area of a rectangle is<br> 3/8 in and the length is 5/8 What is the width?
liberstina [14]

Answer:

The width W is :

W=\frac{3}{5}

Step-by-step explanation:

<em>Let A be the area of the rectangle </em>

<em>Let L be the length of the rectangle</em>

<em>Let W be the width of the rectangle </em>

______

Formula:

A = L × W

__________

\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}

6 0
3 years ago
a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac
uysha [10]

Answer:

3 more students need to sign up

Step-by-step explanation:

Let the equal number of students in 9 teams be x.

Total number of signed up students = 690.

Let t be the required number of students to be signed.

Therefore, 9x = 690+t.

This means, 690+t is a multiple of 9.

The least value of t to make 690+t, a multiple of 9 is 3 and hence,

\frac{693}{9}

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Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.

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3 years ago
Distance between (5,4) and (1,-2)
vlada-n [284]

Answer:

4 units

Step-by-step explanation:

8 0
4 years ago
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