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:
11
Step-by-step explanation:
Trapezoid area = (base1 +base2) x h/2
=> Base2 =[Area x 2/h]-base1 = [98.8 x 2/7.6] - 15 = 26-15=11
answer:
slope: -2/3
step-by-step explanation:
y=mx+b
m represents the slope, and b the y-intercept.
rearrange: 9x= -6y+18
---> -6y= -9x-18
divide all terms by -6.
-6y/-6= -9/-6x-18/-6
y= 3/2x+3 (slope/intercept form)
m= 3/2
---> 1/3/2= -2/3
Question:
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
Select all that apply.
(3.6,0.6)
(-2.6,0.4)
(-3.6,0.6)
(2.6,0.4)
(4.5,-1.5)
Answer:
Option A : 
is the solution to the system of equations.
Option D: 
is the solution to the system of equations.
Explanation:
The two equations are and
To determine the solution of the system of equations using technology, let us plot the equations in the graphing calculator.
The solution of the system of equations is the intersection of the two lines.
Thus, from the graph, we can see that the two lines f(x) and g(x) intersect at the points 
and 
Rounding off the solution to the nearest tenth, we get,
and
Thus, the solution to the system of equations is and
Hence, Option A and Option D are the correct answers.
