Answer:
x=1
Step-by-step explanation:
To get the 7 away, we need to multiply it into the parentheses.
7*-10= -70
7*3=21
-70+21x= -49
Now we combine like terms and we move 70 over. Because we're moving it to the other side of the equation, it becomes positive.
21x= -49+70
-49+70 is the same as 70-49
70-49= 21
Now we put it together.
21x=21
To get the x by itself, we need to divide 21 on both sides.
21x/21= 21/21
21/21=1
x=1
Answer:
k = 5
Step-by-step explanation:
The given line is y = 4x - 14.
The given point is (k, k + 1).
For this point, x = k and y = k + 1.
You substitute these equations into the line's equation to find the value of k.
(x = k)
(y = k + 1)
y = 4x - 14
(k + 1) = 4(k) - 14
Solve for k.
k + 1 = 4k - 14
Subtract k from both sides.
1 = 3k - 14
Add 14 to both sides.
15 = 3k
Divide both sides by 3.
15/3 = k
Simplify.
5 = k
And that's the answer!
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Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65
Steps to solve:
3 + x(-2) = 10
~Simplify
3 - 2x = 10
~Subtract 3 to both sides
-2x = 7
~Divide -2 to both sides
x = -3.5
Best of Luck!