Question

Solve the following system of equations:

{y = 6x}
{4x + y = 7
A) x = 1, y = 6
B) x = 1, y = 7
C) x = 2, y = 12
D) x = 3, y = 18

Answer 1

To solve the system of equations y = 6x and 4x + y = 7, we combine then and find that x = 0.7 and y = 4.2, which is not among the options provided, indicating a possible mistake in the question.

Step-by-step explanation:

To solve the given system of equations, we substitute the first equation y = 6x into the second equation 4x + y = 7. That gives us:

4x + 6x = 7

10x = 7

x = 0.7

We then substitute this value of x back into the first equation:

y = 6(0.7)

y = 4.2

So the solution to the system of equations is x = 0.7 and y = 4.2. However, this solution is not listed among the provided options (A, B, C, D), which suggests there may have been a typo or mistake in the question as it stands. Remember, when faced with such issues, it's best to communicate with your teacher to clarify and resolve the discrepancy.