Answer:
<h2>x=-5</h2>
Step-by-step explanation:
Answer:
Money owned by Steve = $11
Money owned by Ben = $13
Step-by-step explanation:
Let x denotes the money owned by Steve and y denotes the money owned by Ben.
Then, Steve gives $3 to Ben
Money left with Steve = x-3 and Ben = y+3
Now, Ben will have twice as much as Steve.
⇒ y+3 = 2(x-3) .............(1)
If Ben gives Steve $7
Money left with Steve = x+7 and Ben = y-7
Then, the amount Ben has will be one-third that of Steve’s.
⇒ y-7 = 
(x+7) ..........(2)
Solving equation (1) and (2) by elimination method, we get
x = 11 and y = 13
⇒ Money owned by Steve = $11
Money owned by Ben = $13
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
Answer:
18
Step-by-step explanation:
