Solve the following system:
{3 x - 5 y = 7 | (equation 1)
{10 y - 4 x = 16 | (equation 2)
Swap equation 1 with equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{3 x - 5 y = 7 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Divide equation 1 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Multiply equation 2 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+5 y = 38 | (equation 2)
Divide equation 2 by 5:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(2 x)+0 y = -30 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Divide equation 1 by -2:
{x+0 y = 15 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Collect results:
Answer: {x = 15
{y = 38/5 or 7.6 decimal
Answer:
-38.1
Step-by-step explanation:
-61.5 - -23.4
ANSWER
The correct answer is D.
EXPLANATION
The given function is
According to the rational roots theorem, the possible rational roots of f(x) are all factors of 9 expressed over all the factors of 3,
The correct answer is D.
There are 72 tokens with Riley and 63 tokens with Erik
<em><u>Solution:</u></em>
Riley and Erik have earned a total of 135 tokens to buy items in the school store
Total number of tokens = 135
The ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7
Number of tokens with Riley : Number of tokens with Erik = 8 : 7
Let the number of tokens with Riley be 8x
Let the number of tokens with Erik be 7x
Since, Total number of tokens = 135
number of tokens with Riley + number of tokens with Erik = 135
8x + 7x = 135
15x = 135
x = 9
Therefore,
Number of tokens with Riley = 8x = 8(9) = 72
Number of tokens with Erik = 7x = 7(9) = 63
Thus there are 72 tokens with Riley and 63 tokens with Erik
Answer:
51
Step-by-step explanation:
Answer: 51
check: a^2+b^2=c^2 24^2+45^2=51^2 576+2025=2601 2601=2601
