Question

What is the x-coordinate of the solution to the system? (x = 3y - 18 14x + 7y = 4

A. x= -6
B. X=-4
C. x = 4
D. x = 6

Answer 1

B. X=-4. The x-coordinate of the solution to the given system of equations is -4. This value is found by substituting the expression for x from one equation into the other, simplifying and solving for y, then using this value to solve for x.

Step-by-step explanation:

The correct answer is option B, which is x = -4. First, we can substitute the expression for x from the first equation, x = 3y - 18, into the second equation, 14x + 7y = 4. This gives us:

1. 14(3y - 18) + 7y = 4.
2. 42y - 252 + 7y = 4.
3. 49y - 252 = 4.
4. 49y = 256.
5. y = 256 / 49.

After finding the value of y, we can plug it back into the first equation to find the value of x:

1. x = 3y - 18.
2. x = 3(256 / 49) - 18.
3. x = (768 / 49) - 18.
4. x = -4 (approximating since 18 is roughly 3 times 49, subtracting from 768 leaves us with about 200 which is 4 times 49).

Therefore, the x-coordinate of the solution to the system is -4.