Answer:
Infinitely Many
Step-by-step explanation:
Equations:
y = 5 - 2x
4x + 2y = 10
There are multiple ways to solve this, but I'm going to use substitution.
Since y = 5 - 2x, I will input this y value into the second equation.
4x + 2(5 - 2x) = 10
From here, it's simple algebra.
4x + 10 - 4x = 10
- 10 - 10
4x - 4x = 0
0x = 0
Because we essentially have the solution 0 = 0, this means that the system has an infinite amount of solutions.
Why?
Well, they're the same line. (Put both into slope intercept form.)
y = 5 - 2x OR y = -2x + 5
4x + 2y = 10
2y = -4x +10
= y = -2x + 5
Answer:
INFINITE SOLUTIONS.
Step-by-step explanation:
y = 5 - 2x
4x + 2y = 10
From the first equation:
2x + y = 5 Multiply this equation by -2:
-4x - 2y = -10
Adding the above to the second equation:
0 = 0 So the 2 equations are identical and there are Infinite SOLUTIONS>
