Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 5x+7=2y and
y-9x=23
A) {}
B) 1 solution
C) Infinite
2 answers:
Answer:
The correct option is option B. It has one solution, and it's x=-3
Step-by-step explanation:
We have the following system of equations:
5x+7 = 2y (1)
y-9x=23 (2)
Step 1: Solve for 'y' in equation (2):
y-9x = 23
y = 9x + 23
Step 2: Substitute in equation (1):
5x + 7 = 2y
5x + 7 = 2(9x + 23)
5x + 7 = 18x + 46
Step 3: Solve for x:
7 - 46 = 18x - 5x
-39 = 13x
x= -3
So the correct option is option B. It has one solution, and it's x=-3
Answer: Option B
The system has 1 solution
Step-by-step explanation:
We must solve the following system of equations
To solve it, clear y from the second equation and then substitute in the first equation

Now substitute in the first equation

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