For this case we have the following system of equations:
Rewriting equation 1 we have:
Therefore, the equivalent system is:
The system will have no solution, if we write equation 2 as a linear combination of equation 1.
Therefore, since both lines have the same slope, they are parallel.
Parallel lines do not intersect when they have different cut points.
Therefore, there is no solution for:
-12, -4, 0, 4
The system has inifinites solutions for:
12
This is because the lines intersect at all points in the domain.
Answer:
The values, when placed in the box, would result in a system of equations with no solution are:
A: -12
B: -4
C: 0
D: 4
To solve a problem, we often plug in the given information into algebraic expression and equations.
Answer:
She invested $30,000 at 9%
Step-by-step explanation:
Let the amount invested per percentage be $x and $y respectively
Total investment is 40,000
This means that;
x + y = 40,000 ••••••••••(i)
Now for her income;
9/100 * x = 9x/100
for the 12% = 12/100 * y = 12y/100
Now;
9x/100 + 12y/100 = 3,900
9x + 12y = 390000 •••••••••(ii)
we solve both simultaneously
From i, y = 40,000-x
Substitute this into ii
9x + 12(40,000-x) = 390,000
9x + 480,000-12x = 390,000
3x = 480,000-390,0000
3x = 90,000
x = 90,000/3
x = $30,000
Answer:
x = 10, y = 0
Step-by-step explanation:
x + y = 10 ---> x = 10 - y
3x + 2y = 30
3 (10 - y) + 2y = 30
30 - 3y + 2y = 30
y = 0
x + 0 = 10
x = 10
