Identify the solution (s) of the system of equations, if any.

x=1
y=1

(A) no solutions
(B) (0,0)
(c) (1,1)
(D) infinitely many solutions

Identify the solution (s) of the system of equations, if any.
3x-2y=6
5x=5-25y

(A) (28/13, 3/13)
(B) (-3/17, 32/17)
(C) (2/17,-3/17)
(D) (32/9, 7/3)

Someone Please feel free to help me!!!

First quesstion can you graph that system see where two graph cross or meet that will be your answer.

Substituting method

x = 1-5y

3(1-5y) -2y = 6

3-15y-2y = 6

3-17y = 6

-17y = 3

y = -3/17

x = 1-5(-3/17)

x = 32/17

(32/17, -3/17)

I do not see it.

Thank You Kuai for your help !

You're welcome

To identify the solution(s) of the system of equations, we need to substitute the given values of x and y into the equations and check if they satisfy the equations.

For the first system of equations:
x = 1 and y = 1

Substituting x = 1 into the second equation:
y = 1

Since both equations are satisfied, the solution is (1,1). Thus, the correct answer is (C) (1,1).

For the second system of equations:
3x - 2y = 6
5x = 5 - 25y

To solve this system, we can use the method of substitution.

First, solve the second equation for x:
x = (5 - 25y) / 5
x = 1 - 5y

Substitute this value of x into the first equation:
3(1 - 5y) - 2y = 6
3 - 15y - 2y = 6
-17y = 3
y = -3/17

Now, substitute this value of y back into the second equation to find x:
5x = 5 - 25(-3/17)
5x = 5 + 75/17
5x = 85/17
x = 17/17 = 1

Hence, the solution is (1, -3/17). Therefore, the correct answer is (C) (1, -3/17).