Finite Math Examples

$x + 4 (- 1) + 5 z = 18$ , $z = - 7$

Step 1

Replace all occurrences of $z$ with $- 7$ in each equation.

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Step 1.1

Replace all occurrences of $z$ in $x - 4 + 5 z = 18$ with $- 7$ .

$x - 4 + 5 (- 7) = 18$

$z = - 7$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $x - 4 + 5 (- 7)$ .

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Step 1.2.1.1

Multiply $5$ by $- 7$ .

$x - 4 - 35 = 18$

$z = - 7$

Step 1.2.1.2

Subtract $35$ from $- 4$ .

$x - 39 = 18$

$z = - 7$

$x - 39 = 18$

$z = - 7$

$x - 39 = 18$

$z = - 7$

$x - 39 = 18$

$z = - 7$

Step 2

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

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Step 2.1

Add $39$ to both sides of the equation.

$x = 18 + 39$

$z = - 7$

Step 2.2

Add $18$ and $39$ .

$x = 57$

$z = - 7$

$x = 57$

$z = - 7$

Step 3

Solve the system of equations.

$x = 57 z = - 7$

Step 4

List all of the solutions.

$x = 57, z = - 7$