SOLUTION: Solve this equation using the elimination method.
5x - 3y = 24
3x + 5y = 28
Algebra.Com
Question 269165: Solve this equation using the elimination method.
5x - 3y = 24
3x + 5y = 28
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
Here's a detail steps for solving the equation! ☺
--------------------------------------------------
5x-3y=24_3x+5y=28
Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 15.
5*(5x-3y=24)_3*(3x+5y=28)
Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 15.
5*(5x-3y)=5(24)_3*(3x+5y)=3(28)
Multiply 5 by each term inside the parentheses.
5*(5x-3y)=120_3*(3x+5y)=3(28)
Multiply 5 by each term inside the parentheses.
(25x-15y)=120_3*(3x+5y)=3(28)
Remove the parentheses around the expression 25x-15y.
25x-15y=120_3*(3x+5y)=3(28)
Multiply 3 by each term inside the parentheses.
25x-15y=120_3*(3x+5y)=84
Multiply 3 by each term inside the parentheses.
25x-15y=120_(9x+15y)=84
Remove the parentheses around the expression 9x+15y.
25x-15y=120_9x+15y=84
Add the two equations together to eliminate y from the system.
9x+15y=84_25x-15y=120_34x =204
Divide each term in the equation by 34.
x=6
Substitute the value found for x into the original equation to solve for y.
25(6)-15y=120
Multiply 25 by each term inside the parentheses.
150-15y=120
Move all terms not containing y to the right-hand side of the equation.
-15y=-30
Divide each term in the equation by -15.
y=2
This is the final solution to the independent system of equations.
Answer: x=6
Answer: y=2
RELATED QUESTIONS
Solve using the elimination method:
3x-5y=-4... (answered by jim_thompson5910)
5x+5y=-13, 7x-3y=11 using the elimination method solve this... (answered by jim_thompson5910)
Solve by elimination method
3x-5y=-19... (answered by Cromlix,Theo)
Solve using elimination method
5x-2y=-4... (answered by Fombitz)
Using the Gauss-Jordan elimination method, solve the following linear system.
7x +5y (answered by Edwin McCravy)
solve using the elimination method.
3x+5y=4... (answered by london maths tutor)
What is the first step to solve this using the elimination method:
5x-2y=-15... (answered by macston,rothauserc,fractalier)
Please solve this using the elimination method.
2x + 3y = 2
-28 = 4x - 2y
(answered by checkley77)
Solve the following linear system using elimination:
3x+3y=15... (answered by checkley77)