Answer:
Step-by-step explanation:
{4x + y = 3
{x + y - z = 9 ←
{2x + 2y + z = 0 ←
{4x + y = 3
{3x + 3y = 9 >> Combined equation
−¾[4x + y = 3]
{−3x - ¾y = −2¼ >> New Equation
{3x + 3y = 9
_________
2¼y = 6¾
___ ___
2¼ 2¼
[Plug this back into all three equations to get the z-value of −6, and the x-value of 0];
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Answer:
Option B. 24 horses and 50 humans
Step-by-step explanation:
Let
x ----> the number of humans
y ----> the number of horses
Remember that
A human has one head and two legs
A horse has one head and four legs
so
----> equation A
-----> equation B
Solve the system by graphing
The solution of the system is the intersection point both graphs
The solution is the point (50,24)
see the attached figure
therefore
The number of humans is 50 and the number of horses is 24
