Question

What is the value of x in the solution to the system of equations -5 = 6 + 7x and x = 16 - 7y?

A. -11
B. -6
C. -10
D. -3

Answer 1

The value of x in the solution to the system of equations -5 = 6 + 7x and x = 16 - 7y is x = -11/7.

Step-by-step explanation:

To find the value of x in the given system of equations -5 = 6 + 7x and x = 16 - 7y, we need to solve for x using the equations.

First, let's solve the first equation -5 = 6 + 7x:

1. Subtract 6 from both sides to isolate 7x: -5 - 6 = 7x
2. Simplify: -11 = 7x
3. Divide both sides by 7 to solve for x: -11/7 = x, which simplifies to x = -11/7

Next, substitute this value of x into the second equation x = 16 - 7y:

1. Replace x with -11/7: -11/7 = 16 - 7y
2. Isolate the term with y by subtracting 16 from both sides: -11/7 - 16 = -7y
3. Simplify: -143/7 = -7y
4. Divide both sides by -7 to solve for y: -143/7 ÷ -7 = y, which simplifies to y = 143/49

Therefore, the value of x in the solution to the system of equations is x = -11/7.