Question

Find the solution for this system of equations.

2x − 3y = 2
x = 6y − 5

Answer 1

x = 3

y = 4/3

Explanation:

2x − 3y = 2

x = 6y − 5

x - 6y = -5

2x - 3y = 2 | ×1 |

x - 6y = -5 | ×2 |

2x - 3y = 2

2x - 12y = -10

____________--

9y = 12

y = 12/9

y = 4/3

2x - 3y = 2

2x - 3(4/3) = 2

2x - 4 = 2

2x = 2 + 4

2x = 6

x = 6/2

x = 3