Question

Determine whether the system of equation has one solution no solution or infinite solutions

y=2x + 10
Зу- 6x=30

Answer 1

To determine whether the system of equations has one solution, no solution, or infinite solutions, we can solve the system by elimination or substitution. Here, we will use substitution:

We can rearrange the second equation to solve for z:

-6x = 30

x = -5

Substituting x = -5 into the first equation:

y = 2x + 10

y = 2(-5) + 10

y = 0

Thus, the solution to the system of equations is x = -5 and y = 0.

Therefore, the system has one solution.