Question

solve the literal equation for y:

1. $-4x + 7y = 7x + 7$
2. $-10 + 2y = -46$
3. $3x + 4 = 8 - 4y$
4. $6y - 10x = 48$
5. $2 + \frac{1}{5}y = 2x + 3$
6. $12 - \frac{4}{3}y = 6 + 6x$

solve the literal equation for x:

1. $p = qx + rx + 5$
2. $b = 4ax - 2x$
3. $j = 6x + wx + 3$
4. $t = 8 + 7x - yx$

Explanation:

Let's solve problem 7: \( p = qx + rx + s \) for \( x \).

Step 1: Isolate terms with \( x \)

Subtract \( s \) from both sides:
\( p - s = qx + rx \)

Step 2: Factor out \( x \)

Factor \( x \) from the right - hand side:
\( p - s = x(q + r) \)

Step 3: Solve for \( x \)

Divide both sides by \( (q + r) \) (assuming \( q + r
eq0 \)):
\( x=\frac{p - s}{q + r} \)

Answer:

\( x = \frac{p - s}{q + r} \) (for \( q + r
eq0 \))