SOLUTION: Solve each system by the addition method. (Please ^_^) 3x

SOLUTION: Solve each system by the addition method. (Please ^_^) 3x - 4y = 11 2x + 3y = -4

Question 523157: Solve each system by the addition method. (Please ^_^)
3x - 4y = 11
2x + 3y = -4
Answer by Mohammad123(2) (Show Source): You can put this solution on YOUR website!
In this example none of the coefficients are opposites. We need to multiply the equations with some numbers to get the coefficients opposite. Lets take the coefficients of y.
3(3x - 4y = 11) < equation 1
+ 4(2x + 3y = -4) < equation 2
-----------------
Add the two equations to eliminate y.
9x - 12y = 33
+ 8x + 12y = -16
------------------
17x = 17
Isolate variable x
x=1
To get the value of y you need to use the substitution method. Substitute x = 2 into equation 1.
3x-4(1)=11
3x-4=11
3x=15
x=5
Therefore x=1 and y=5
Thanks, Mohammad
RELATED QUESTIONS
Solve each system by the addition method. 2x+3y=18... (answered by Fombitz)

solve each system of equations by the addition method 10/3x+4y=-4... (answered by ankor@dixie-net.com)

The Addition Method Solve each system by addition. 3x + 5y = -11 x - 2y = 11 (answered by brucewill)

Using the addition (elimination) method to solve systems of equations . 6x-4y=11... (answered by vleith)

Solve the system by the addition method: 2x=5 - 4y 4x - 4y=4. What is x? (answered by ewatrrr)

2x=3y+11 7x-4y=6 Solve system with addition... (answered by nabla)

Solve each system of linear equation by an method. 3x + 4y = 1 2x + 3y = 1 Please... (answered by jim_thompson5910)

3x + 4y = 1 2x + 3y = 1 Solve each system of linear equations by any method.... (answered by Fombitz)

solve the system of equations using the addition method 2x-3y=4... (answered by checkley77)