Identify the solution of the system of equations
3x-2y=6
5x=5-25y
3x -2y = 6
5x = 5 - 25y
x = 1-5y
Substituting
3(1-5y) -2 y = 6
3-15y -2y = 6
3- 17y = 6
3-3- 17y = 6- 3
-17y = 3
y = -3/17
x = 1-5(-3/17)
x = 32/17
(32/17, -3/17)
THANKS KUAI!!! I lost a step in the middle.
To identify the solution of the given system of equations:
Step 1: We have two equations:
3x - 2y = 6 ...(Equation 1)
5x = 5 - 25y ...(Equation 2)
Step 2: Let's solve this system of equations using the method of substitution.
From Equation 2, let's solve for x:
5x = 5 - 25y
x = (5 - 25y) / 5
x = 1 - 5y ...(Equation 3)
Step 3: Now, substitute Equation 3 (x = 1 - 5y) into Equation 1:
3x - 2y = 6
3(1 - 5y) - 2y = 6
3 - 15y - 2y = 6
-17y + 3 = 6
-17y = 6 - 3
-17y = 3
y = 3 / -17
y = -3 / 17
Step 4: Substitute the value of y back into Equation 3 to find x:
x = 1 - 5y
x = 1 - 5(-3/17)
x = 1 + 15/17
x = (17 + 15) / 17
x = 32 / 17
x = 32 / 17 simplified
Therefore, the solution to the given system of equations is:
x = 32 / 17
y = -3 / 17