Question

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

187

likes
934 views

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

Expert avatar
Seamus
4.9
98 Answers
$\left\{\begin{array} { l } 4x-3y=24 \\ 5x-2y=9\end{array} \right.$
$\left\{\begin{array} { l } -8x+6y=-48 \\ 5x-2y=9\end{array} \right.$
$\left\{\begin{array} { l } -8x+6y=-48 \\ 15x-6y=27\end{array} \right.$
$7x=-21$
$x=-3$
$5 \times \left( -3 \right)-2y=9$
$y=-12$
$\left( x, y\right)=\left( -3, -12\right)$
$\left\{\begin{array} { l } 4 \times \left( -3 \right)-3 \times \left( -12 \right)=24 \\ 5 \times \left( -3 \right)-2 \times \left( -12 \right)=9\end{array} \right.$
$\left\{\begin{array} { l } 24=24 \\ 9=9\end{array} \right.$
$\left( x, y\right)=\left( -3, -12\right)$

Frequently asked questions (FAQs)
What are the solutions to the quadratic equation x^2 - 5x + 6 = 0?
+
Math Question: What is the slope-intercept equation of a line passing through the points (2, 5) and (-3, 9)?
+
Find the equation of an ellipse with center (h,k), major axis 2a, and minor axis 2b.
+
New questions in Mathematics
Pedro bought 9 kg of sugar at the price of R$1.80 per kilogram, six packets of coffee at the price of R$3.90 per packet and 8 kg of rice at the price of R$2.70 per kilogram. Knowing that he paid for the purchases with a R$100.00 bill, how much change did he receive?
431414-1*(11111-1)-4*(5*3)
I need .23 turned into a fraction
58+861-87
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
7/6-(-1/9)
2/3+5/6×1/2
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
Find 2 numbers whose sum is 47 and whose subtraction is 13
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
Estimate the quotient for 3.24 ÷ 82
Convert 9/13 to a percent
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
P(Z<z)=0.1003
9.25=2pi r solve for r
Find the vertex F(x)=x^2-10x
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
2.3 X 0.8