Which oddered pair is the the system of equation?

(3, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-5x - 3y = 12

y = x - 12

Step 2: Solve for x

Substitution

Substitute in y:                              -5x - 3(x - 12) = 12Distribute -3:                                 -5x - 3x + 36 = 12Combine like terms:                     -8x + 36 = 12Isolate x term:                               -8x = -24Isolate x:                                        x = 3

Step 3: Solve for y

Define original equation:                    y = x - 12Substitute in x:                                     y = 3 - 12Subtract:                                               y = -9

Step 4: Graph systems

Check the solution set.

Volume of emerald = 137.04cm³

Step-by-step explanation:

Given that:

Mass of emerald = 378.24grams

Density of emerald = 2.76grams/cm³

Volume = ?

The equation for this relationship is ρ = m / V in which ρ is density, m is mass (kg or g) and V is volume (cm³ or m³) making the density unit kg/m³ or g/cm³.

Therefore

Density = mass/volume

Volume = Mass/density

i.e

Volume of emerald = Mass of emerald / Density of emerald

Volume of emerald = 378.24grams / 2.76grams/cm³

Volume of emerald = 137.043cm³ ~137.04cm³

Volume of emerald =137.04cm³