Final answer:
To determine the value of x that would prove y || z, we need to solve the equation (3x + 7)(10x – 22). Setting the two expressions inside the parentheses equal to each other, we find that x = 4.14.
Step-by-step explanation:
To determine the value of x that would prove y || z, we need to solve the equation (3x + 7)(10x – 22). The expression y || z means that y and z are parallel lines, which implies that they have the same slope. To determine the value of x, we can set the two expressions inside the parentheses equal to each other:
3x + 7 = 10x - 22
Solving this equation, we get:
7 + 22 = 10x - 3x
29 = 7x
x = 4.14