Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Explanation:
When you put the solution values into each equation, the equation becomes a true statement. If all equations become true statements, the point is a solution to the system.
_____
For example, consider the system of equations ...
The point (x, y) = (5, 1) is proposed as the solution. When we put those values into the equations, we get ...
5 + 1 = 6 . . . . . true
5 - 1 = 4 . . . . . .true
(x, y) = (5, 1) is the solution to this system of equations. (Since it is a system of two independent linear equations in an equal number of unknowns, we know there is only one solution.)
Answer:
x = -7
Step-by-step explanation:
4(2x + 14) = 0
Divide each side by 4
2x+14 = 0
Subtract 14 from each side
2x+14-14 = 0-14
2x= -14
Divide each side by 2
2x/2 = -14/2
x = -7
Answer:
C, -7
Step-by-step explanation:
Use distributive property to get: 8x +56 = 0
Isolate x to get: 8x = -56
Then divide each side by 8: x= -7
The answer is C
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10
The scale drawing of a swimming pool measures 2 inches by 3 inches on the drawing 25 inches = 3 feet. What are the actual
dimensions of the pool?
18 feet x 24 feet
24 feet x 36 fees
30 feet x 40 feet
Submit
Answer:
The answer is 24 feet x 36 feet
solve this for me someone (solving systems of equations by substitutions)
looking for x and y
24pn/18p²
= 24np/18p²
= 24n/18p
= 4n/3p
I hope that's help;0