Question

Please help. isolate for the underlined variable and show your steps

Answer 1

5. Y = -3X -2

7. K = (DW -GRP)/L

9. T = J + L - T

10. B = DF - A - C

Explanation:

In each case, the steps are the same:

1. Subtract every term that does not contain the variable of interest.
2. Divide by the coefficient of the variable of interest.
3. Simplify as needed.

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5. The variable of interest (Y) is on the left side of the equation. The other term there is -3X, so we add 3X (same as subtract -3X) to both sides of the equation:

-4Y = 12X + 8

Now, we divide both sides by -4.

Y = -3X -2

7. The term not containing K on the left side of the equation is DW/G, so we subtract that from both sides of the equation.

-KL/G = RP -DW/G

Now, we multiply the equation by the inverse of the coefficient of K, which is -G/L:

K = (-G/L)·RP -(-G/L)·(DW/G) = -GRP/L +DW/L

K = (DW -GRP)/L

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In this case, it can be a little easier if you multiply by G first, then subtract DW and divide by -L. The end point is the same, but the route is slightly different.

9. Terms not containing T are P and -L. Subtracting those from both sides of the equation gives ...

T = J +L -T

10. Subtracting terms A and C from both sides of the equation gives ...

B = DF -A -C