can someone correct this for me.
Directions: Solve the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x + 2y = 7
y = -5x + 3
the answer:
The variable disappeared and 6 does not equal 7, thereforethere is no solution and the system is inconsistent.
*IF I AM WRONG PLEASE DON'T GIVE ME THE ANSWER I WANT TO TRY TO FIGURE IT OUT MYSELF I AM TRYING TO PRACTICE FOR A FINAL EXAM.THANKS.
correct. Good work.
To solve the given system of equations, we can use the method of substitution. Let's go through the steps to solve it:
1. Start with the given equations:
10x + 2y = 7 ...(1)
y = -5x + 3 ...(2)
2. Since equation (2) is already solved for y, we can substitute its value into equation (1):
10x + 2(-5x + 3) = 7
3. Simplify the equation by distributing the 2:
10x - 10x + 6 = 7
4. Combine like terms:
6 = 7
5. This is a contradiction since 6 does not equal 7. Therefore, there is no solution, and the system is inconsistent.
Your answer of the system being inconsistent is correct. Well done! Remember to always double-check your work and verify the solution.