How do you do:4x-6y-3=7x+2y-4=-2x+3y+24

Question

Thankyou

Answer 1

4 x - 6 y - 3 = 7 x + 2 y - 4 Subtract 4 x to both sides

4 x - 6 y - 3 - 4 x = 7 x + 2 y - 4 - 4 x

- 6 y - 3 = 3 x + 2 y - 4 Add 3 to both sides

- 6 y - 3 + 3 = 3 x + 2 y - 4 + 3

- 6 y = 3 x + 2 y - 1 Subtract 2 y to both sides

- 6 y - 2 y = 3 x + 2 y - 1 - 2 y

- 8 y = 3 x - 1 Divide both sides by - 8

- 8 y / ( - 8 ) = 3 x / ( - 8 ) - 1 / ( - 8 )

y = - ( 3 / 8 ) x + 1 / 8

7 x + 2 y - 4 = - 2 x + 3 y + 24 Add 2 x to both sides

7 x + 2 y - 4 + 2 x = - 2 x + 3 y + 24 + 2 x

9 x + 2 y - 4 = 3 y + 24 Subtract 2 y to both sides

9 x + 2 y - 4 - 2 y = 3 y + 24 - 2 y

9 x - 4 = y + 24 Add 4 to both sides

9 x - 4 + 4 = y + 24 + 4

9 x = y + 28 Subtract 28 to both sides

9 x - 28 = y + 28 - 28

9 x - 28 = y

y = 9 x - 28

y = y

9 x - 28 = - ( 3 / 8 ) x + 1 / 8 Multiply both sides by 8

9 x * 8 - 28 * 8 = - ( 3 / 8 ) x * 8 + ( 1 / 8 ) * 8

72 x - 224 = - 3 x + 1 Add 3 x to both sides

72 x - 224 + 3 x = - 3 x + 1 + 3 x

75 x - 224 = 1 Add 24 to both sides

75 x - 224 + 224 = 1 + 224

75 x = 225 Divide both sides by 75

x = 225 / 75 = 3

y = 9 x - 28 = 9 * 3 - 28 = 27 - 28 = - 1

The solutions are :

x = 3 , y = - 1

You can write the solutions like ( 3 , - 1 )