Solve the system and give your answer as a coordinate point in the form (k, c) k+c=100 51k+11c=2500

1 answer:

Aleks [24]3 years ago

5 0

Answer:

k = 35, c = 65

Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

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bearhunter [10]

<h3>Answer:</h3>

x=2

<h3>Solution:</h3>

In order to isolate x, we should first of all take the square root of both sides.
If we take the square root of the left-hand side, we will get
$x-\displaystyle\frac{1}{2}$
How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
So we have
$x-\displaystyle\frac{1}{2} =\frac{3}{2}}$
Move -1/2 to the right:
$x=-\displaystyle\frac{3}{2} +\frac{1}{2}$
$x=\displaystyle\frac{4}{2}$
x=2