a) SOLVE FOR W:W+6TW=11-W
b)Make j the subject of the formula: r=9-7jk+4jt^2
W+6TW=11-W
2W + 6TW = 11
W(2 + 6T) = 11
W = 11/(2 + 6T)
r=9-7jk+4jt^2
4jt^2 - 7jk = r - 9
j(4t^2 - 7k) = r - 9
j = (r - 9)/(4t^2 - 7k)
W+6tw=11-w
w+6tw+w=11
w(1+6t+1)=11
w(2+6t)=11
w=11/(2+6t)
-----------------
r=9-7jk+4jt^2
r-9=4jt^2-7jk
r-9=j(4t^2-7k)
j=r-9/(4t^2-7k).......
a) To solve for W in the equation W + 6TW = 11 - W, you can follow these steps:
Step 1: Simplify the equation by combining like terms.
W + 6TW = 11 - W simplifies to 7TW + 2W = 11.
Step 2: Move all terms involving W to one side of the equation.
To do this, you can add W to both sides of the equation:
7TW + 2W + W = 11 + W.
This simplifies to:
7TW + 3W = 11 + W.
Step 3: Factor out the common term W on the left-hand side of the equation.
This gives:
W(7T + 3) = 11 + W.
Step 4: Divide both sides of the equation by (7T + 3).
This results in:
W = (11 + W) / (7T + 3).
Therefore, the solution for W is W = (11 + W) / (7T + 3).
b) To make j the subject of the formula r = 9 - 7jk + 4jt^2, you can follow these steps:
Step 1: Move all terms not containing j to the right-hand side of the equation.
This gives:
7jk = 9 + 4jt^2 - r.
Step 2: Factor out j on the left-hand side of the equation.
This results in:
j(7k) = 9 + 4jt^2 - r.
Step 3: Divide both sides of the equation by (7k).
This simplifies to:
j = (9 + 4jt^2 - r) / (7k).
Therefore, the formula with j as the subject is j = (9 + 4jt^2 - r) / (7k).