Question

حل النظام open curly brackets table attributes columnalign left end attributes row cell 4 x minus 5 y equals 9 end cell row cell negative 8 x plus 10 y equals 18 end cell end table close

170

likes
851 views

Answer to a math question حل النظام open curly brackets table attributes columnalign left end attributes row cell 4 x minus 5 y equals 9 end cell row cell negative 8 x plus 10 y equals 18 end cell end table close

Expert avatar
Hank
4.8
105 Answers
Solution:
1. Given system of equations:
* 4x - 5y = 9
* -8x + 10y = 18

2. Choose a method to solve the system. Here, we will use the elimination method:
* Multiply the first equation by 2 to match the coefficients of x:
(4x - 5y = 9) \times 2 \Rightarrow 8x - 10y = 18

3. Now add this equation to the second equation to eliminate x:
8x - 10y = 18
-8x + 10y = 18
----------------------------------------
0 = 36

4. The equation 0 = 36 is false, indicating there is no solution.

Therefore, the system of equations is inconsistent.

Frequently asked questions (FAQs)
What are the characteristics of the circle function (x^2+y^2=r^2)?
+
What is the graph of the logarithmic function f(x) = log(base 2)(x), when x is in the domain of positive real numbers?
+
What is the limit of f(x) = (4x^2 - 9)/(2x^2 + x -3) as x approaches 2?
+
New questions in Mathematics
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
-6n+5=-13
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
2x-y=5 x-y=4
Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
Pedro had 80% of the amount needed to buy a game. Of this amount, you spent 15% on a watch and therefore, you will need to add another R$640.00 to purchase this game. Is the value of the game?
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
Determine the general equation of the straight line that passes through the point P (2;-3) and is parallel to the straight line with the equation 5x – 2y 1 = 0:
A person decides to invest money in fixed income securities to redeem it at the end of 3 years. In this way, you make monthly deposits of R$300.00 in the 1st year, R$400.00 in the 2nd year and R$500.00 in the 3rd year. Calculate the amount, knowing that compound interest is 0.6% per month for the entire period. The answer is 15,828.60
TEST 123123+1236ttttt
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
Express the trigonometric form of the complex z = -1 + i.
In measuring the internal radius of a circular sewer the measurement is 2% too large. If this measurement is then used to calculate the circular cross-sectional area of the pipe: Determine, by using the binomial theory, the percentage error that will occur compared to the true area.
5x+13+7x-10=99
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
simplify w+[6+(-5)]
16-(x²+x+2)²
Define excel and why we use it?
A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?