Solve for y

−42−11y=
−97

9 answers

To solve for \( y \) in the equation

\[ -42 - 11y = -97, \]

we can start by isolating the term with \( y \).

First, add 42 to both sides of the equation:

\[ -11y = -97 + 42. \]

Calculating the right side:

\[ -97 + 42 = -55, \]

so the equation now reads:

\[ -11y = -55. \]

Next, divide both sides by -11:

\[ y = \frac{-55}{-11}. \]

This simplifies to:

\[ y = 5. \]

Thus, the solution is:

\[ \boxed{5}. \]

Solve for a
−7a+28=
7

To solve for \( a \) in the equation

\[ -7a + 28 = 7, \]

we can start by isolating the term with \( a \).

First, subtract 28 from both sides of the equation:

\[ -7a = 7 - 28. \]

Calculating the right side:

\[ 7 - 28 = -21, \]

so the equation now reads:

\[ -7a = -21. \]

Next, divide both sides by -7:

\[ a = \frac{-21}{-7}. \]

This simplifies to:

\[ a = 3. \]

Thus, the solution is:

\[ \boxed{3}. \]

Solve for a

10/3

a−18=
6

To solve for \( a \) in the equation

\[ \frac{10}{3} a - 18 = 6, \]

let's start by isolating the term with \( a \).

First, add 18 to both sides of the equation:

\[ \frac{10}{3} a = 6 + 18. \]

Calculating the right side:

\[ 6 + 18 = 24, \]

so we have:

\[ \frac{10}{3} a = 24. \]

Next, to solve for \( a \), multiply both sides by the reciprocal of \( \frac{10}{3} \), which is \( \frac{3}{10} \):

\[ a = 24 \times \frac{3}{10}. \]

Calculating the right side:

\[ a = \frac{72}{10} = 7.2. \]

Thus, the solution is:

\[ \boxed{7.2}. \]

I meant 3/10 sorry

No problem! Let's solve for \( a \) in the equation

\[ \frac{3}{10} a - 18 = 6. \]

  1. Add 18 to both sides to isolate the term with \( a \):

    \[ \frac{3}{10} a = 6 + 18. \]

    This simplifies to:

    \[ \frac{3}{10} a = 24. \]

  2. Multiply both sides by the reciprocal of \( \frac{3}{10} \), which is \( \frac{10}{3} \):

    \[ a = 24 \times \frac{10}{3}. \]

  3. Calculate the right side:

    \[ a = \frac{240}{3} = 80. \]

Thus, the solution is:

\[ \boxed{80}. \]

Solve for y
82=
4−
6/7
y

To solve for \( y \) in the equation

\[ 82 = 4 - \frac{6}{7} y, \]

we'll start by isolating the term with \( y \).

  1. Subtract 4 from both sides:

    \[ 82 - 4 = -\frac{6}{7} y. \]

    This simplifies to:

    \[ 78 = -\frac{6}{7} y. \]

  2. Multiply both sides by \(-\frac{7}{6}\) to solve for \( y \):

    \[ y = 78 \times -\frac{7}{6}. \]

  3. Calculate the right side:

    \[ y = -\frac{78 \times 7}{6}. \]

    First, simplify \( \frac{78}{6} \):

    \[ \frac{78}{6} = 13, \]

    thus,

    \[ y = -13 \times 7 = -91. \]

So, the solution is:

\[ \boxed{-91}. \]

Similar Questions
    1. answers icon 1 answer
  1. Combine like terms:-3x^2+2x-4x^2-9+6x-2x^2+8 Solve for x: 8x-11= -11x+18 Solve for x: -2(x-5)+7=z-8-5x Solve for x: (x-2)/5 -
    1. answers icon 8 answers
  2. Solve the indicated variable:1. Volume of a cone: solve for h: V=¨ir^2h/3 2. Temperature formula: solve for C: F=9/5C+32
    1. answers icon 1 answer
  3. Put in the correct orderSolve exponentiation. Solve multiplication and division. Solve operations within parentheses Solve
    1. answers icon 1 answer
more similar questions