Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
Graphing the system of equations is shown in figure attached.
Solution set is (2,-4). The lines will intersect at (2,-4)
Step-by-step explanation:
We need to graph the system of equations. 
First we will find value of x and y
Let:

Add eq(1) and eq(2)

Putting value of x in eq(1) and finding y

So, y=-4
Graphing the system of equations is shown in figure attached.
Solution set is (2,-4). The lines will intersect at (2,-4)
Keywords: System of equations
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Answer:
4
Step-by-step explanation:
y inversely proportional to x
y=1k/x
4=k/4
k=4×4
k=16
to find y
y=16/4
y=4
Answer: 20
<u>Step-by-step explanation:</u>
h(x) = |3x| - 1
h(7) = |3(7)| - 1
= |21| - 1
= 21 - 1
= 20
Answer:
Step-by-step explanation:
Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.
We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).