Question

5x -9y =-26-2x +3y =11​

Answer 1

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

Answer 2

Answer:

(-7, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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

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

Step 3: Redefine Systems

5x - 9y = -26

-6x + 9y = 33

Step 4: Solve for x

Elimination

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

Step 5: Solve for y

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