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15) $z = b + \\frac{m}{a}$, for $a$ 16) $g = x - c + y$, for $x$ 17) $g…

Question

  1. $z = b + \frac{m}{a}$, for $a$
  2. $g = x - c + y$, for $x$
  3. $g = b - ca$, for $a$
  4. $g = ca - b$, for $a$
  5. $2x + 4 = xg$, for $x$
  6. $g = \frac{1 + 2a}{a}$, for $a$
  7. $g = \frac{x - c}{x}$, for $x$
  8. $xm = x + z$, for $x$
  9. $u + ka = ba$, for $a$
  10. $u = kx + yx$, for $x$
  11. $u = 3b - 2a + 2$, for $a$
  12. $z = 9a - 9 - 3b$, for $a$
  13. $g = 4ca - 3ba$, for $a$
  14. $-3a - 3 = -2n + 3p$, for $a$

Explanation:

Response

Let's solve each problem one by one:

Problem 15: \( z = b + \frac{m}{a} \), for \( a \)

Step 1: Subtract \( b \) from both sides

\( z - b = \frac{m}{a} \)

Step 2: Take reciprocal and multiply by \( m \)

\( a = \frac{m}{z - b} \) (assuming \( z
eq b \))

Step 1: Isolate \( x \) by subtracting \( -c + y \) (or adding \( c - y \))

\( x = g + c - y \)

Step 1: Subtract \( b \) from both sides

\( g - b = -ca \)

Step 2: Divide both sides by \( -c \) (assuming \( c

eq 0 \))
\( a = \frac{b - g}{c} \)

Answer:

\( a = \frac{m}{z - b} \)

Problem 16: \( g = x - c + y \), for \( x \)