solve 5x+7y=3, 4x+14y=-6..
Answers
Answer:
System of Linear Equations entered :
[1] 5x + 7y = 10
[2] 3x - 14y = 6
Graphic Representation of the Equations :
7y + 5x = 10 -14y + 3x = 6
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 14y + 6
[2] x = 14y/3 + 2
// Plug this in for variable x in equation [1]
[1] 5•(14y/3+2) + 7y = 10
[1] 91y/3 = 0
[1] 91y = 0
// Solve equation [1] for the variable y
[1] 91y = 0
[1] y = 0
// By now we know this much :
x = 14y/3+2
y = 0
// Use the y value to solve for x
x = (14/3)(-0/10525960)+2 = 2
Solution :
{x,y} = {2,0/10525960}
Answer:
by elimination method
Step-by-step explanation:
5x+7y=3 [1]
4x+14y=-6 [2]
multiply by 2 in [1] and by 1 in [2]
10x+14y=6 [3]
4x+14y=-6 [4]
subtracting [3] and [4]
x=2
put x=2 in [1]
hence , y=-1