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netineya [11]
4 years ago
15

Someone help me with this ples with steps

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
4 0

Answer:

x=\frac{21}{4}

y=\frac{21}{2}

Step-by-step explanation:

equation (1): \frac{1}{2} (2x+y)=\frac{21}{2}

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

\frac{1}{2} (2x+y)=\frac{21}{2}

\frac{1}{2} (2x+2x)=\frac{21}{2}

step2: simplify the expression:

\frac{1}{2} (4x)=\frac{21}{2}

2x=\frac{21}{2}

(divide by 2 for both sides)

x=\frac{21}{4}

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

y=\frac{21}{2}

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yKpoI14uk [10]

Answer:

Step 1: 14x − 21 = 1; Step 2: 14x = 22

Explanation:

7(2x−3)=1

Step 1: Simplify both sides of the equation

7(2x−3)=1

(7)(2x)+(7)(−3)=1(Distribute)

14x+−21=1

14x−21=1

Step 2: Add 21 to both sides

14x−21+21=1+21

14x=22

Step 3: Divide both sides by 14

14x / 14 = 22 / 14

x = 22 / 14: x = 11/7

7 0
3 years ago
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What is not equivalent to -12
tekilochka [14]

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3 0
3 years ago
1. For centuries, mathematicians believed that quadratic equations, like the one below, had no solutions and were not solvable.
7nadin3 [17]

Answer:

See below.

Step-by-step explanation:

(a) Because the solution led to a square root of a negative number:

x^2 -10x+40=0

x^2 - 10x = -40   Completing the square:

(x - 5)^2 - 25 = -40

(x - 5)^2 = -15

x =  5 +/-√(-15)

There is no real square root of -15.

(b) A solution was found by introducing the operator i which stands for the square root of -1.

So the solution is  

= 5 +/- √(15) i.

These are called complex roots.

(c) Substituting in the original equation:

x^2 - 10 + 40:

((5 + √(-15)i)^2 - 10(5 + √(-15)i) + 40

= 25 + 10√(-15)i - 15 - 50 - 10√(-15)i  + 40

=  25 - 15 - 50 + 40

= 0.   So this checks out.

Now substitute 5 - √(-15)i

= 25 - 10√(-15)i - 15 - 50 + 10√(-15)i  + 40

=  25 - 15 - 50 + 40

= 0.  This checks out also.

8 0
3 years ago
Which of the following is less than 527 m?
Andru [333]
1m = 100cm = 1000mm = 1,000,000,000nm
1Mm = 1,000,000m

A. 0.000699 Mm = 0.000699 · 1,000,000 m = 699 m

B. 914,879,710 nm = (914,879,710 : 1,000,000,000) m = 0.914879710 m

C. 51,723 cm = (51,723 : 100) m = 517.23 m

Answer: C. 51,723 cm = 517.23 m ≈ 527 m
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