Question

Solve this system of linear equation.Separate the x- and y-values with comma. 16x=6-18y -10x=-24+18y

Answer 1

(5,-37/9)

Explanation:

Divide the first equation by 2 and the second equation by 2.

8x=3-9y, -5x=-12+9y

Isolate the 9y's

8x-3=-9y, -5x-12=9y

Add the equations together so that the two y's cancel out

8x-3=-9y

-5x-12=9y +

3x-15=0

Solve this equation to get...

x=5

Plug that in to the original equations to get y=-37/9

Answer 2

(x,y) = (-3,3)

Explanation:

16x=6-18y

-10x=-24+18y

We need to solve the above equations to find the values of x and y.

Rearranging the above equations

16x + 18y - 6 = 0 => eq(1)

-10x -18y +24 =0 => eq(2)

Adding eq(1) and eq(2)

16x + 18y - 6 = 0

-10x -18y +24 =0

-----------------------

6x + 18 =0

6x = -18

x= -18/6

x= -3

Putting value of x in eq(1) i.e

16x + 18y - 6 = 0

x= -3

16(-3) + 18y - 6 =0

-48 + 18y -6 =0

18y - 54 = 0

18y = 54

y= 54/18

y= 3

So, value of x = -3 and y = 3

(x,y) = (-3,3)