Answer:
x = -0.2
Step-by-step explanation:
Cross multiply
9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.
1.8 (6x + 1) = 1.8 x Remove the brackets on the left
1.8*6x + 1.8 = 1.8x Multiply the factors on the left. Don't do anything with the plus sign
10.8x + 1.8= 1.8x Subtract 1.8 from both sides
10.8x = 1.8x - 1.8 Subtract 1.8x from both sides
10.8x - 1.8x = -1.8
9x = - 1.8 Divide by 9
x = -1.8/9
x = - 0.2
Check
This is one question you should check. There's lot's of room for an error.
<em><u>LHS</u></em>
0.2(6x+1)/3.6
0.2(6 * -0.2 + 1) / 3.6
0.2( - 1.2 + 1) / 3.6
0.2( - 0.2) / 3.6
- 0.04 / 3.6
- 0.011111111
<em><u>RHS</u></em>
0.5 ( - 0.2)/9
-0.1/ 9
- 0.0111111 And the left and right side check.
-7(2 + n) + 1/3(-9 - 6n)
-14 - 7n -3 - 2n
-17 - 9n
Use the poin-slope form of the equation of a line:-
y - y1 = m(x - x1) (where m = slope and the point is (x1, y1))
Plugging in the given values:-
y - 6 = 2/5(x - 10)
multiplying through by 5:-
5y - 30 = 2(x - 10)
5y - 30 = 2x - 20
5y = 2x + 10
In standard form the equation is
2x - 5y = -10 (answer)
The answer is X=-7 and X=6
The answer would be:
y = 5
x = 4
