Question

solve the following using substitution method.
3x-2y=7
5x-y=3

Answer 1

Answer:

Solve equation [2] for the variable y

[2] y = -5x + 3

// Plug this in for variable y in equation [1]

[1] 3x - 2•(-5x+3) = 7

[1] 13x = 13

// Solve equation [1] for the variable x

[1] 13x = 13

[1] x = 1

// By now we know this much :

x = 1

y = -5x+3

// Use the x value to solve for y

y = -5(1)+3 = -2

Answer 2

Answer:

System of Linear Equations entered :

[1] 3x - 2y = 7

[2] 5x + y = 3

Graphic Representation of the Equations :

-2y + 3x = 7 y + 5x = 3

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -5x + 3

// Plug this in for variable y in equation [1]

[1] 3x - 2•(-5x+3) = 7

[1] 13x = 13

// Solve equation [1] for the variable x

[1] 13x = 13

[1] x = 1

// By now we know this much :

x = 1

y = -5x+3

// Use the x value to solve for y

y = -5(1)+3 = -2

Solution :

{x,y} = {1,-2}