Answer: Choice C) no solution
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Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
If Fiona is to divide the first expression by the second one, clearly only the first term of the first expression is divisible. The remaining terms of the fist expression will remain as the remainder. The remainder from the division done by Fiona should be 5x - 3.
Let the angle a be 5x
The supplement be x
According to the question
X+5x=180
6x=180
X=30
5x=5×30=150
The measure of angle a 150
Angle of supplement 30
Hope this helps!!
Answer:
C)
Step-by-step explanation:
First use distributive property: a(b +c) =a*b +a*c
-3x + 5(x +2) = -3x + 5*x +5*2
= -3x + 5x + 10 {Combine like terms}
= 2x + 10
(-3x) and 5x are like terms
Answer:
4a(a+b−c)Step-by-step explanation:
4a
2
+4ab−4ca
The common factor =2×2×a
Thus, 4a
2
+4ab−4ca
=4a(a+b−c)
