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Alika [10]
2 years ago
11

2x+3y= 143х - 4 y = 4​

Mathematics
1 answer:
goldenfox [79]2 years ago
5 0

The solution to given system of equations are (x, y) = (4, 2)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 14 ---------- eqn 1

3x - 4y = 4 --------- eqn 2

We have to solve the given system of equations

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 3</u></em>

3(2x + 3y = 14)

6x + 9y = 42 --------- eqn 3

<em><u>Multiply eqn 2 by 2</u></em>

2(3x - 4y = 4)

6x - 8y = 8 ----------- eqn 4

<em><u>Subtract eqn 4 from eqn 3</u></em>

6x + 9y = 42

6x - 8y = 8

( - ) --------------

9y + 8y = 42 - 8

17y = 34

<h3>y = 2</h3>

<em><u>Substitute y = 2 in eqn 1</u></em>

2x + 3(2) = 14

2x + 6 = 14

2x = 14 - 6

2x = 8

<h3>x = 4</h3>

Thus the solution to given system of equations are (x, y) = (4, 2)

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Which number line shows 1 to 4 divided into fourths?
romanna [79]

Answer:

the second one dose I believe

3 0
2 years ago
Drag each tile to the correct box.<br>Order the expressions from least value to greatest value.<br>​
STatiana [176]

Answer:

-2 19/20, 2 3/5. 3.125, 10.35

Step-by-step explanation:

Let's solve each expression:

Solve:

-4.5 x -2.3

Multiply:

-4.5 x -2.3

10.35

Therefore, the simplified expression is 10.35

Solve:

5/-1.6

Divide:

5/-1.6

3.125

Therefore, the simplified expression is 3.125

Solve:

5 6/15 + (-2 4/5)

First, make the denominators of 4/5 equal to 15:

4/5 = ?/15

Multiply both the numerator and denominator by 3:

4 x 3 = 12

5 x 3 = 15

The new fraction is 12/15.

Add:

5 6/15 + (-2 12/15)

2 9/15

Simplify:

2 9/15 = 2 3/5

(divide the numerator and denominator by 3)

Therefore, the simplified expression is 2 and three-fifths.

Solve:

-3 3/10 - (-7/20)

First, make the denominators of 3/10 equal to 20:

3/10 = ?/20

Multiply both the numerator and denominator by 2:

3 x 2 = 6

10 x 3 = 20

The new fraction is 6/20.

Subtract:

-3 6/20 - (-7/20)

-2 19/20

Therefore, the simplified expression is negative 2 and nineteen-twentieths.

Order from least to greatest:

-2 19/20, 2 3/5. 3.125, 10.35

3 0
3 years ago
92. Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do m
dimulka [17.4K]

Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do much calculation? Homework help  6, 10, 6, 10 11, 12, 12, 13, 12 0, 5, 4, 8, 0, 7

Answer: To find the mean of the given observations. we just need to first find the sum of the given observations and the divide the calculate sum by the total number of observations.

So here:

Sum of of observations =6+ 10+ 6+10+11+12+12+13+12+0+ 5+ 4+ 8+ 0+7=116

Number of observations = 15

Therefore, the mean =\frac{116}{15}= 7.733

5 0
3 years ago
Helllp please I am stuck
Mashutka [201]

Answer:

Step-by-step explanation:

Add 4 to both sides

13 + 4 = w/-3 - 4 + 4

17 = w/-3     Multiply through by -3

17*-3 = -3*(w/-3)

-51 = w

7 0
3 years ago
Help pleaseeee it’s due in 27 mins
Nitella [24]

Answer:

X-intercepts: (-5,0)

Y-Intercepts: (0,2)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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