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Tom [10]
3 years ago
9

Use substitution to solve each system of equations. y = 5x -2 3 x- 5y =4

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0
  • x = 3/11
  • y = -7/11

Step-by-step explanation:

y = 5x - 2…Equation 1

3x - 5y = 4…Equation 2

Subtitute value of y to Equation 2 :

3x - 5(5x - 2) = 4

3x - 25x + 10 = 4

-22x + 10 = 4

10 - 4 = 22x

6 = 22x

6/22 = x

<u>3/11 = </u><u>x</u>

Subtitute value of x to one of Equation :

for example Equation 2…

3x - 5y = 4

3(3/11) - 5y = 4

9/11 - 5y = 4

9/11 - 4 = 5y

(9 - 44)/11 = 5y

(-35)/11 = 5y

(-35)/11 × 1/5 = y

<u>-7/11 = y</u>

Mrrafil [7]3 years ago
3 0
3x - 5(5x - 2) = 4

3x - 25x + 10 = 4
-22x = 4 - 10
-22x = -6 ➗ -22
X = 3/11
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1
cricket20 [7]

Answer:

<em>5.33 secs</em>

Step-by-step explanation:

Given the equation of the height modeled by the equation/

h(t) = -3.2 + 12.5t + 24.8

The object strikes the ground when the height h(t) is zero

Substituting h(t) = 0 into the expression

h(t) = -3.2t² + 12.5t + 24.8

0 =  -3.2t² + 12.5t + 24.8

-3.2t² + 12.5t + 24.8 = 0

Multiply through by minus sign

3.2t² - 12.5t - 24.8 = 0

From the expression a = 3.2, b = -12.5 and c = -24.8

t = -(-12.5)±√(-12.5)²-4(3.2)(-24.8)/2(3.2)

t = 12.5±√156.25+317.44)/6.4

t = 12.5±√473.69/6.42

t = 12.5±21.76/6.42

t = 12.5+21.76/6.42

t = 34.26/6.42

t = 5.33secs

<em>Hence the object strike the ground after 5.33 secs</em>

3 0
3 years ago
A contractor completed five-ninths of a job before a second contractor completed an additional one-third. What fraction of the j
Firlakuza [10]
I'd say that your answer would be 4/6=2/3 of the job is incomplete.
8 0
3 years ago
Plz help me with this now!!
Digiron [165]
The answer will be y=3x-1. You will the steps in the picture

6 0
3 years ago
john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and
Finger [1]

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5x^{2}                   ]  x + 6

     5x

   patio               = area of 5x^{2} + 49x + 114

5x + 19

 

(5x + 19) ( x + 6) = 5x^{2} + 19x + 30x + 114

(5x^{2} + 49x + 114)                     -   (5x^{2} )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)

4 0
3 years ago
Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is
bonufazy [111]

Answer:Amount of white  paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of  blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of  blue paint used =4/5 x 9.1=7.28 pints

Amount of white  paint used=Amount of  blue paint and white paint to paint her bedroom walls -Amount of  blue paint used

=9.1-7.28=1.82 pints

4 0
3 years ago
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