2x + 4 = 12
We're simply just trying to isolate x.
So, we must get x onto it's own side of the equal sign :)
Our first step is to subtract 4 from both sides.
2x + 4 - 4 = 12 - 4
Simplify.
2x = 8
Then, we divide both sides by 2.
2x ÷ 2 = 8 ÷ 2
Simplify.
x = 4
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To check your work, simply plug in the value of x into x in the original equation.
In this problem, x = 4, so plug in 4 for x.
2x + 4 = 12
2(4) + 4 = 12
Simplify.
8 + 4 = 12
12 = 12
Therefore, x = 4
~Hope I helped!~
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10
Answer:
10
Step-by-step explanation:
<u><em>y = -4 </em></u>
<u><em>x = 6 </em></u>
<em><u>x-y = 6-(-4) = 6+4 = 10</u></em>
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