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(a) Given that y=6-3x, find the value of y when x=-4. (b) Make d the subject of the formula c=3d+2e.

(a) Given that y=6−3x y=6-3 x , find the value of y y when x=−4 x=-4 .\newline(b) Make d d the subject of the formula c=3d+2e c=3 d+2 e .

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Evaluate expression when a complex numbers and a variable term is givenright chevron icon

Full solution

Q. (a) Given that y=6−3x y=6-3 x , find the value of y y when x=−4 x=-4 .\newline(b) Make d d the subject of the formula c=3d+2e c=3 d+2 e .
  1. Plug in x=−4x=-4: Given y=6−3xy=6-3x, plug in x=−4x=-4 to find yy.\newliney=6−3(−4)y = 6 - 3(-4)\newliney=6+12y = 6 + 12\newliney=18y = 18
  2. Isolate dd: Now, let's solve part (b) by making dd the subject of the formula c=3d+2ec=3d+2e.\newlineSubtract 2e2e from both sides of the equation.\newlinec−2e=3dc - 2e = 3d
  3. Divide by 33: Divide both sides by 33 to isolate dd.d=c−2e3d = \frac{c - 2e}{3}

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