Question

Solve the system of equations 4x + 3y = -25 7x - 3y = -52

Answer 1

Answer:

x = -7

y = 1

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 7x = 3y - 52

[2] x = 3y/7 - 52/7

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

[1] 4•(3y/7-52/7) + 3y = -25

[1] 33y/7 = 33/7

[1] 33y = 33

// Solve equation [1] for the variable y

[1] 33y = 33

[1] y = 1

// By now we know this much :

x = 3y/7-52/7

y = 1

// Use the y value to solve for x

x = (3/7)(1)-52/7 = -7

Solution :

{x,y} = {-7,1}