# How do you solve the system of equations #-2x + 4y = 10 # and #3x - 6y = - 15#?

##### 2 Answers

Jun 20, 2018

#### Explanation:

As equations (1), (2) are the same, we cannot solve for x & y.

Jun 20, 2018

The system has infinitely many solutions. See explanation.

#### Explanation:

The system is:

#{(-2x+4y=10),(3x-6y=-15):}#

We can divide the first equation by

#x-2y=-5# ## (1)

This means that **any pair #(x,y)#** fulfilling the equation (1) is also the solution to the initial system.

Example solutions are then: