Solve systems of equations for y and x:

−5y + 8x = −18

5y + 2x = 58​

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations:                                                                                      10x = 40[Division Property of Equality] Divide 10 on both sides:                                x = 4

Step 3: Solve for y

Substitute in x [Original equation]:                                                                  -5y + 8(4) = -18Multiply:                                                                                                             -5y + 32 = -18[Subtraction Property of Equality] Subtract 32 on both sides:                      -5y = -50[Division Property of Equality] Divide -5 on both sides:                                y = 10

The right of a lender to refuse a loan if the borrower hasn't repaid previous loans on time

The answer is part a: use