3x-2y=2. 5x-5y=10 elimination method

x = - 2

y = - 4

Step-by-step explanation:

The given system of linear equations is expressed as

3x - 2y = 2- - - - - - - - - - - - -1

5x - 5y = 10- - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 5 and equation 2 by 3. It becomes

15x - 10y = 10- - - - - - - - - - -3

15x - 15y = 30- - - - - - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

5y = - 20

Dividing the the left hand side and the right hand side of the equation by 5, it becomes

5y/5 = - 20/5

y = - 4

Substituting y = - 4 into equation 1, it becomes

3x - 2 × - 4 = 2

3x + 8 = 2

3x = 2 - 8

3x = - 6

Dividing the the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 6/3

x = - 2

the answer is 31.27mph