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GalinKa [24]
4 years ago
9

36x+45y=123 46x+15y=23

Mathematics
1 answer:
NISA [10]4 years ago
7 0

Elimination Method

\left\{\begin{array}{ccc}36x+45y=123&\text{divide both sides by (-3)}\\46x+15y=23\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-12x-15y=-41\\46x+15y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad34x=-18\qquad\text{divide both sides by 34}\\.\qquad\qquad x=-\dfrac{18}{34}\to\boxed{x=-\dfrac{9}{17}}\\\\\text{Put the value of x to the second equation.}\\\\46\left(-\dfrac{9}{17}\right)+15y=23

-\dfrac{414}{17}+15y=\dfrac{391}{17}\qquad\text{add}\ \dfrac{414}{17}\ \text{to both sides}\\\\15y=\dfrac{805}{17}\qquad\text{divide both sides by}\ 15\\\\y=\dfrac{805}{255}\\\\\boxed{y=\dfrac{161}{51}}\\\\Answer:\ \boxed{x=-\dfrac{9}{17}\ and\ y=\dfrac{161}{51}}

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The graph of the equation y = 3x − 4 is shown. What statement is true about every point on the graph? Math item stem image CLEAR
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C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.

Step-by-step explanation:

We are given the graph of the equation y = 3x -4 as shown below.

Substituting x =3 in the equation gives us,

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Also for ( 3,5 ), we have y = 5 = 3 + 2 = x + 2 i.e. y is not 3 less than x.

This shows that option B is also not correct.

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Answer:

Greatest prime is 83 to test 6971 is prime.

Step-by-step explanation:

To find : What is the greatest prime you must consider to test whether 6971 is prime.

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To determine whether it is prime or not we check it by taking the root and check the nearest prime factor of it

Step 1 - Take the square root of number 6971

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Step 2- The last prime number before 83.49

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Step 3 - Write all the prime number till 83 and if none of the digit divide 6971 then 6971 is prime.

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Therefore, 6971 is a prime number.

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