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

What happens if you solve the first equation for y?

Answer 2

well if you write the 1st equation in slope intercept form

you get

y = - 1/4 x + 4

the lines have different slopes and the same y-intercept.

so its one solution.

you can use this line to graph the lines and check the number of solutions.

https://www.desmos.com/calculator

hope it helps

Answer 3

(: thanks