3 + 2x -y =0
-3 -7y = 10x

(-1, 1)

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

3 + 2x - y = 0

-3 - 7y = 10x

Step 2: Rewrite systems

3 + 2x - y = 0

Add y to both sides:                    3 + 2x = y

Step 3: Redefine systems

y = 2x + 3

-3 - 7y = 10x

Step 4: Solve for x

Substitution

Substitute in y:                     -3 - 7(2x + 3) = 10xDistribute -7:                        -3 - 14x - 21 = 10xCombine like terms:            -14x - 24 = 10xAdd 14x on both sides:        -24 = 24xDivide 24 on both sides:     -1 = xRewrite:                                 x = -1

Step 5: Solve for y

Define original equation:                    -3 - 7y = 10xSubstitute in x:                                     -3 - 7y = 10(-1)Multiply:                                                -3 - 7y = -10Add 3 to both sides:                            -7y = -7Divide -7 on both sides:                      y = 1

Step 6: Graph

Check the solution set.