Question

4x+3y=3 5x+3y=6 Use elimination to solve

282

likes
1409 views

Answer to a math question 4x+3y=3 5x+3y=6 Use elimination to solve

Expert avatar
Neal
4.5
99 Answers
1. Start with the system of equations:

4x + 3y = 3

5x + 3y = 6

2. Subtract the first equation from the second to eliminate \( y \):

(5x + 3y) - (4x + 3y) = 6 - 3

Simplifying gives:

x = 3

3. Substitute \( x = 3 \) into the first equation:

4(3) + 3y = 3

12 + 3y = 3

4. Solve for \( y \):

3y = 3 - 12

3y = -9

y = -3

5. Therefore, the solution is:

x = 3, \, y = -3

Frequently asked questions (FAQs)
What is the mode of the following set of numbers: 2, 5, 5, 6, 8, 9, 9, 9?
+
What is 3/4 of 8.2?
+
What is the maximum value of the sine function when evaluated between 0 and 2π radians?
+
New questions in Mathematics
-6(3x-4)=-6
12-6x=4x+2
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
(m²-121)
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=_____
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
15/5+7-5
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
Convert 5/9 to a decimal
-1%2F2x-4%3D18
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
Total Users with an active Wise account = Total Active Users + Total Users who haven’t transacted Total Active Users = Total MCA Users + Total Send Users = Total New Users + Retained Users Total New Users = New Send Users + New MCA Users Total MCA Users = New MCA Users + Retained Users who transacted this month via MCA Total Send Users = New Send Users + Retained Users who transacted this month via Send Send CR = Total Send Users / Total Users with an active Wise account MCA CR = Total MCA Users / Total Users with an active Wise account New Send CR = New Send Users / New Profiles Created in Month New MCA CR = New MCA Users / New Profiles Created in Month We have recently witnessed a drop in MCA conversion, but send user conversion is stable, can you help explain why?
9n + 7(-8 + 4k) use k=2 and n=3
y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?