Question

How many solutions does the system of equations below have? y = 3x + 2 Y-2x = 4 a) More than 1 solution b) At least 1 solution c) Exactly 1 solution d) No solution​

Answer 1

Answer: c)1 solution

y=3x+2
y=4+2x
put the value of either y in another
3x+2 =4+2x
x=2

Answer 2

Answer:

To determine how many solutions this system has, we must solve the system first. We start by using substitution to solve for x.

$y = 3x + 2\\y - 2x = 4\\\\3x + 2 - 2x = 4\\\\x + 2 = 4\\\\x = 2$

Now we plug in what we found x back into one of the original equations to solve for y.

$y = 3(2) + 2\\\\y = 6 + 2\\\\y = 8$

With this information we can now answer the question.

We can conclude that this system has C. exactly 1 solution, $(2, 8)$.