Find the solution to the following system using substation or elimination y=-x+10 y=7x+2

(1, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 10

y = 7x + 2

Step 2: Solve for x

Substitution

Substitute in y:                           7x + 2 = -x + 10Add x to both sides:                  8x + 2 = 10Subtract 2 on both sides:          8x = 8Divide 8 on both sides:             x = 1

Step 3: Solve for y

Define equation:                     y = -x + 10Substitute in x:                        y = -1 + 10Add:                                         y = 9

Yes, that is the correct formula. to solve this problem given the number of years, plug in the number of years for t and plug the whole thing into the