solve the system of equation by using elimination by multiplication x-4/5y=9 4/5 and -14x-4y=-46

Question

solve step by step

 

Answer 1

Elimination method

Given first equation x-4/5y = 9 4/5

x-4/5y = 49/5

Multiple to each side by 5.

5x-5(4/5)y = 5(49/5)

5x-4y = 49 -------> (1)

Second equation is -14x-4y = -46

Multiple to each side by negitive one.

14x+4y = 46 ------> (2)

To eliminate the y value, add the equations (1) and (2).

 5x-4y = 49

14x+4y = 46

___________

19x = 95

Divide to each side by 19.

19x/19 = 95/19

x = 5

Substitute the x value in equation (1).

5*5-4y = 49

25-4y = 49

Subtract 25 from each side.

25-4y-25 = 49-25

-4y = 24

Divide to each side by negitive 4.

-4y/-4 = 24/-4

y = -6

Solution is x = 5, y = -6.