Answer: 5x+3y=26;6x+7y=21
Solution :
{x,y} = {7,-3}
System of Linear Equations entered :
[1] 5x + 3y = 26
[2] 6x + 7y = 21
Graphic Representation of the Equations :
3y + 5x = 26 7y + 6x = 21
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 7y = -6x + 21
[2] y = -6x/7 + 3
// Plug this in for variable y in equation [1]
[1] 5x + 3•(-6x/7+3) = 26
[1] 17x/7 = 17
[1] 17x = 119
// Solve equation [1] for the variable x
[1] 17x = 119
[1] x = 7
// By now we know this much :
x = 7
y = -6x/7+3
// Use the x value to solve for y
y = -(6/7)(7)+3 = -3
Solution :
{x,y} = {7,-3}
Step-by-step explanation:
