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amid [387]
3 years ago
7

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

To eliminate y- terms

Multiply (1) by 3 and (2) by -5

Step-by-step explanation:

5x - 4y = 28 (1)

3x - 3y = 30 (2)

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

15x-12y=84

-12x+12y= -120

Add equ (3) and (4)

3x=84-120

3x=-36

x=-36/3

= -12

x=-12

To eliminate x- terms

5x-4y=28

3x-3y=30

Multiply (1) by 3 and (2) by -5

15x-12y=84

-15x+15y=-150

Add the new equation

3y= -66

y= -22

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2 years ago
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The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +
prisoha [69]

Let

x------>  the first even integer

x+2---->the second even integer

x+3---->the third even integer

we know that

x+(x+2)+(x+4)=36 -----> equation that represent the situation

solve for x

Combine like terms in the left side

(x+x+x)+(2+4)=36

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therefore

<u>the answer is the option B</u>

3x+6=36


5 0
3 years ago
Read 2 more answers
Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each
stich3 [128]

We have been given that  you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.            

We will use sum of geometric sequence formula to solve our given problem.

S_n=\frac{a\cdot(1-r^n)}{1-r}, where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem a=50, r=50\%=\frac{50}{100}=0.5 and n=25.

S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}

S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}

S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}

S_{25}=100\cdot(0.9999999701976776)

S_{25}=99.99999701976776\approx 100

Therefore, the ball will travel 100 meters and option B is the correct choice.

 

4 0
3 years ago
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