Question

Solve the system of equations using the elimination method. 4x+3y=16 x=-3y+13

Answer 1

Step by Step Solution
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System of Linear Equations entered :

[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :

-3y - 4x = -7 -3y + 16x = 13



Solve by Substitution :

// Solve equation [2] for the variable x


[2] 16x = 3y + 13

[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]

[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y


[1] 15y = 15

[1] y = 1
// By now we know this much :

x = 3y/16+13/16
y = 1
// Use the y value to solve for x

x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}

Answer 2

Answer:

 x=1   y=4

Step-by-step explanation:

1.  4x+3y=16

   x=-3y+13

2. 4x+3y=16

    x+3y=13

3.  4x+3y=16

     -x-3y=-13

4.  3x=3

5.   x=1

6. (1)=-3y+13

7.  1-13=-3y

8.   -12=-3y

9.    y=4