SOLUTION: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUT

Algebra ->  Inequalities -> SOLUTION: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUT      Log On


   

Question 1130419: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION
{−2x + 3y= 5
x = 2y − 4
(x, y) =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

-2x+%2B+3y=+5.....eq.1
x+=+2y-+4......eq.2
---------------------------------
substitute x from eq.2 in eq.1
-2%282y-+4%29+%2B+3y=+5.....eq.1...solve for y
-4y%2B+8+%2B+3y=+5
-y%2B+8+=+5
-5%2B+8+=+y
y=3

find x:
x+=+2y-+4......eq.2..substitute y
x+=+2%2A3-+4
x+=+6-+4
x+=+2


your solution:
(x, y) =(2, 3)