4x-3y=24 and 5x-2y=9 solve by elimination



Answer to a math question 4x-3y=24 and 5x-2y=9 solve by elimination

Expert avatar
10 Answers
$\left\{\begin{array} { l } 4x-3y=24 \\ 5x-2y=9\end{array} \right.$
$\left\{\begin{array} { l } -8x+6y=-48 \\ 5x-2y=9\end{array} \right.$
$\left\{\begin{array} { l } -8x+6y=-48 \\ 15x-6y=27\end{array} \right.$
$5 \times \left( -3 \right)-2y=9$
$\left( x, y\right)=\left( -3, -12\right)$
$\left\{\begin{array} { l } 4 \times \left( -3 \right)-3 \times \left( -12 \right)=24 \\ 5 \times \left( -3 \right)-2 \times \left( -12 \right)=9\end{array} \right.$
$\left\{\begin{array} { l } 24=24 \\ 9=9\end{array} \right.$
$\left( x, y\right)=\left( -3, -12\right)$

Frequently asked questions (FAQs)
Question: What is the slope of a line passing through the points (3, 5) and (7, 9)?
What is the sine of angle A if the opposite side is 5 units and the hypotenuse is 10 units?
What is the integral of 3x^2 + 4x + 1 with respect to x?
New questions in Mathematics
Students Ana Beatriz and Paula decided to register on a website with exercises to study for upcoming simulations, but to register on this website, they need to choose a password consisting of five characters, three numbers and two letters (capital letters). or lowercase). Letters and numbers can be in any position. They know that the alphabet is made up of twenty-six letters and that an uppercase letter differs from a lowercase letter in a password. What is the total number of possible passwords for registering on this site?
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.
QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
2x-4y=-6; -4y+4y=-8
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
In a store, a person carries 14 kilos of rice and 28 kilos of flour. In what ratio are the kilos found? (Remember to simplify until you reach an irreducible fraction)
calculate the normal vector of line y = -0.75x + 3
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
19) If the temperature of -8°C decreases by 12°C, how much will it be? a)-20°C -4°C c) 4°C d) 20°C