Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:

second equation:

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
3.4
5.14
______
8.54
If we round the answer
We get 8.5
Guess I gave you the correct answer
Answer:
Equation 1: x-3y+5=0
Equation 2: 3x+y-1=0
Step-by-step explanation:
Equation 1: x+3y=-5
x+3y+5=-5+5
x=3y+5=0
Equation 2: 9x+3y-3=0
3x+y-1=0
Answer:
9 3/4 inches
Step-by-step explanation:
If we are finding how much taller Sara is, we need to subtract
6 ft 3 3/4 - 5 ft 6in
I like to line up vertically
6 ft 3 3/4
- 5 ft 6in
----------------
We need to borrow 1 ft and make it 12 inches
5 ft 3+12 3/4
- 5 ft 6in
----------------
5 ft 15 3/4
- 5 ft 6in
----------------
0 9 3/4 inches
4) Around 1.4
6) Around 5.7
8) Around 4.5
10) Around 9.5