Question

Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 - x.
Select one:
a. No solutions.
b. One solution.
c. Impossible to determine.
d. Indefinite solutions.

Answer 1

\[4y+x = 16\]\[y = 4-x\]
Since you have a system you can substitute your y into your first equation.
\[4(4-x)-x = 16\] And from there you can solve for the value of x. Depending on the outcome you can answer your question.