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Dovator [93]
2 years ago
11

Solve the following: a) 4x-3 = 2x + 7 b) 2x+6=7x14

Mathematics
1 answer:
Igoryamba2 years ago
6 0

\huge \qquad \qquad \sf \underline{Answer}

\textbf {Let's Solve :}

<h3>Question 1 :</h3>

  • \textsf{4x - 3 = 2x +7}

  • \textsf{4x -2x = 3 +7}

  • \textsf{2x = 10}

  • \textsf{x=5}

<h3>Question 2 :</h3>

  • \sf{2x + 6 = 7 \times 14}

  • \sf{2x + 6 = 98}

  • \sf{2x  = 98-6}

  • \sf{2x = 92}

  • \sf{x=46}

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Solve the system of equations by substitution 3x+y=9z
poizon [28]

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>

<em>3x+y=9.............................. equation 1</em>

<em>3( 1.27) + 5.18 = 9</em>

<em>3.81 + 5.18 = 9</em>

<em>9 = 9</em>

3 0
3 years ago
A car rental costs a fee of $150 plus $35 per
lutik1710 [3]

Answer:

5 hours

Step-by-step explanation:

We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.

$325 - $150 = $175

Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.

$175 ÷ $35 = 5 hours

3 0
3 years ago
Look at the image please help I’m struggling I have 5 more minutes to this test
Temka [501]
Wouldn’t it be $1.50 since half of 3 is 1.5
5 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t
weqwewe [10]
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y

V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h

V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y


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3 years ago
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puteri [66]

Answer:

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5 0
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