Solve the system of equations 4x + 3y = -25
7x - 3y = -52
1 answer:
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}
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