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2 years ago

Y = 4x – 18 y = -5x +9

Mathematics

2 answers:

adelina 88 [10]2 years ago

5 0

Answer:

(3, -6)

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)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: 4x - 18 = -5x + 9
[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
[Addition Property of Equality] Add 18 on both sides: 9x = 27
[Division Property of Equality] Divide 9 on both sides: x = 3

Step 3: Solve for y

Substitute in x [1st Equation]: y = 4(3) - 18
Multiply: y = 12 - 18
Subtract: y = -6

kherson [118]2 years ago

5 0

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

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