# math

posted by .

How do you solve this by elimination method? 4x+3y=016x+3=8y

• math -

4 x + 3 y = 0

16 x + 3 = 8y
______________

Multiply the first equation by 4

16 x + 12 y = 0

16 x + 3 = 8y
______________

Subtract 8 y by second equation

16 x + 12 y = 0

16 x + 3 - 8 y = 8y - 8y = 0
______________

16 x + 12 y = 0

16 x + 3 - 8 y = 0
______________

Subtract 3 by second equation

16 x + 12 y = 0

16 x + 3 - 8 y - 3 = 0 - 3
______________

16 x + 12 y = 0

16 x - 8 y = - 3
________________

Subtract fsecond equation from first equation

16 x - 1 6 x + 12 y - ( - 8 y ) = 0 - ( - 3 )

12 y + 8 y = 3

20 y = 3 Divide both sides by 20

y = 3 / 20

Put y = 3 / 20 in first equation.

4 x + 3 y = 0

4 x + 3 * 3 / 20 = 0

4 x + 9 / 20 = 0 Subtract 9 / 20 by both sides

4 x + 9 / 20 - 9 / 20 = 0 - 9 / 20

4 x = - 9 / 20 Divide both sides by 4

x = - 9 / ( 20 * 4 )

x = - 9 / 80

Solution :

x = - 9 / 80 , y = 3 / 20

## Similar Questions

1. ### Math

Solve by eliminnation methods 2x-4y=5 2x-4y=6 solve the system by elimination method 5x+2y= -13 7x-3y=17 Solve x+6<-7 or x+6>4 Determine whether the given numbers are solutions of the inequality 8,-10,-18,-3 y-8>2y-3 Solve …
2. ### Math

How do I solve these problems, I really need help. Solve by substitution method 6x+5y=17 x=53-8y Solve by elimination method 2x+3y=5 4x+6y=10
3. ### Algebra

Solving system of linear equations by using the apropiate method name the method and the x,y coordinates 1)X=4y+8 2x-8y=-3 2)3x-7y=6 elimination method 2x+7y=4 (2,0) 3)5x-2y=12 elimination method 3x-2y=-2 (7,23/2) 4)9x-8y=42 elimination …
4. ### math elimination method

elimination method really confuses me. solve by elimination method 5r -3s = 17 3r + 5s =17 A. solution is ______ (ordered pair, integer or fraction) B. Infinitely many C. No Solution
5. ### Math Elimination method

Use the elimination method to solve x+8y= 47 -x + 4y= 13 The solution is (___,___) Thank you
6. ### Algebra

Solve by elimination method. 7r-3s=14 3r+7s=64 Could never figure out the elimination method. Would love some help with this one. Thanks
7. ### MaTh = Algebra = help

Solve this system of linear equaiton by an algebraic method. So If I had to solve this the elimination method way, how would I do it?
8. ### Algebra/Elimination method

Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this. -27x - 18y = -180 9x + 6y = 60
9. ### math

Please solve the system with the elimination method. Explain each step as it is performed. 5y = x 2x - 3y = 7 Would the elimination method have been your first choice to solve this problem?
10. ### Algebra 1

bobpursey, In this problem you helped me with earlier: Solve using any appropriate method. y = 2× - 5, y = ½× + 1 Substitution, substitute for y. 2×-5=½ × + 1 3/2 x=6 x=4 y= 2*4-5=3 How did you choose which method you were going …

More Similar Questions