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3 years ago

5x -9y =-26-2x +3y =11

Mathematics

2 answers:

jonny [76]3 years ago

5 0

Answer:

x= -7

y= -1

Step-by-step explanation:

5x-9y= -26..............(1)

-2x+3y= 11...............(2)

5(-2x+3y= 11)

-10x +15y = 55................(3)

2(5x-9y= -26)

10x-18y= -52.....................(4)

Add equation 3&4

-10x+15y= 55

10-18y= -52

-3y= 3

y= -1

put y= -1 into equation ............(3)

-10x+15y= 55

-10x+15(-1)= 55

-10x-15 = 55

-10x= 55+15

-10x= 70

x= -7

Therefore;

x= - 7 and y= - 1

kogti [31]3 years ago

3 0

Answer:

(-7, -1)

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
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x - 9y = -26

-2x + 3y = 11

Step 2: Rewrite Systems

-2x + 3y = 11

Multiply everything by 3: -6x + 9y = 33

Step 3: Redefine Systems

5x - 9y = -26

-6x + 9y = 33

Step 4: Solve for x

Elimination

Combine 2 equations: -x = 7
Divide -1 on both sides: x = -7

Step 5: Solve for y

Define equation: 5x - 9y = -26
Substitute in x: 5(-7) - 9y = -26
Multiply: -35 - 9y = -26
Add 35 on both sides: -9y = 9
Divide -9 on both sides: y = -1

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5x -9y =-26-2x +3y =11​

5x -9y =-26-2x +3y =11