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3 years ago

For the following system, use the second equation to make a substitution for y in the first equation.

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

Answer:

Option A: 3x + 5x - 4 = 1

Step-by-step explanation:

Given equations:

3x + y = 1 ------------ eq1

y + 4 = 5x ---------- eq2

eq2 can also be written as:

y = 5x - 4 ----------- eq3

By substituting value of y from eq 3 into eq1, the resulting equation will be:

3x + 5x - 4 = 1

i hope it will help you!

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Solving Rational equations. LCD method. Show work. Image attached.

Ugo [173]

Answer:

$k=\frac{1}{2}$

Step-by-step explanation:

The given rational equation is

$\frac{5k}{k+2}+\frac{2}{k}=5$

The Least Common Denominator is

$k(k+2)$

Multiply each term by the LCD.

$k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)$

Simplify;

$k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)$

$\Rightarrow k(5k)+2(k+2)=5k(k+2)$

Expand;

$\Rightarrow 5k^2+2k+4=5k^2+10k$

Group similar terms;

$\Rightarrow 5k^2-5k^2+2k-10k=-4$

$\Rightarrow -8k=-4$

Divide by -8.

$k=\frac{1}{2}$

5 0

3 years ago

What conclusion can be based on the given statement?

ValentinkaMS [17]

Answer:

The first option x = y

Step-by-step explanation:

If 7x = 7y, then...

7x = 7y

7x / 7 = 7y / 7

x = y

3 0

3 years ago

Ron has a bag containing 3 green pears and 4 red pears he randomly selects a lead then randomly selects another pear without rep

Alborosie

First pear    Second pear probability

green (3/7)---------green (2/6)    (3/7)*(2/6) = 1/7
      ---------red (4/6)    (3/7) *(4/6) = 2/7

red (4/7)-------------green (3/6) (4/7)*(3/6) = 2/7
   -------------red (3/6)    (4/7)*(3/6) = 2/7
   -------------------------
   1/7 + 2/7 + 2/7 + 2/7 = 1

The probailities that two are green are: 1/7

The probabilities that one is green and the other is red are:2 /7 + 2/7 = 4/7

The probabilities that two are red are: 2/7

7 0

3 years ago

10 times as much as blank hundred is 70 hundreds or blank thousands

netineya [11]

Answer:

10 times as much as 7 hundred is 70 hundreds or 7 thousands.

Step-by-step explanation:

The question given is:

10 times as much as _____ hundreds is 70 hundreds or _____ thousands.

Dividing the question into two fractions, we have:

10 times what is 70 hundreds?

What is 70 hundreds in thousands?

10 x 7 hundred = 10 x 700 = 70 hundreds

Recall that 70 hundreds = 70 00

70 hundreds = 70 00 = 7 thousands = 7 000

Therefore, the question can be written as:

10 times as much as 7 hundreds is 70 hundreds or 7 thousands.

7 0

3 years ago

What’s the answer to this problem?

Vinil7 [7]

×=23

:) :) :) :) :););) ;););)

5 0

3 years ago