Precalculus Examples

$10 z + 20 y + 30 z = 9100$ , $x + y + z = 511$

Step 1

Solve the equation for $x$ .

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Step 1.1

Add $- 2 z$ and $z$ .

$x + 455 - z = 511$

$y = 455 - 2 z$

Step 1.2

Move all terms not containing $x$ to the right side of the equation.

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Step 1.2.1

Subtract $455$ from both sides of the equation.

$x - z = 511 - 455$

$y = 455 - 2 z$

Step 1.2.2

Add $z$ to both sides of the equation.

$x = 511 - 455 + z$

$y = 455 - 2 z$

Step 1.2.3

Subtract $455$ from $511$ .

$x = 56 + z$

$y = 455 - 2 z$

$x = 56 + z$

$y = 455 - 2 z$

$x = 56 + z$

$y = 455 - 2 z$

Step 2

Simplify the right side.

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Step 2.1

Reorder $56$ and $z$ .

$x = z + 56$

$y = 455 - 2 z$

$x = z + 56$

$y = 455 - 2 z$

Step 3

Simplify the right side.

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Step 3.1

Reorder $455$ and $- 2 z$ .

$y = - 2 z + 455$

$x = z + 56$

$y = - 2 z + 455$

$x = z + 56$