What is the solution to the system of equations The equations 9x-10y=6, 8x-10y=-23, 9x+10y=-16, and 8x+10y=13

Answer to Q1:

(29,25.5)

Step-by-step explanation:

We have given a system of equations.

9x-10y = 6 eq (1)

8x-10y = - 23 eq (2)

We have to solve given system of equations by finding the value of x and y.

Subtracting eq (1) from eq (2), we have

9x-10y - (8x-10y) = 6 - (-23)

9x-10y-8x+10y = 6+23

Adding like terms, we have

x+0y = 29

x = 29

Putting above value of x in eq (1), we have

9 (29) - 10y = 6

261-10y = 6

Adding - 261 to both sides of above equation, we have

-261+261-10y = - 261+6

-10y = - 255

Dividing by - 10 to both sides of above equation, we have

y = - 255 / - 10

y = 25.5

Hence, the answer of 9x-10y=6, 8x-10y=-23 is (29,25.5).

Answer to Q2:

(-29,24.5)

Step-by-step explanation:

We have given a system of equation.

9x+10y = - 16 eq (1)

8x+10y = 13 eq (2)

We have to find the value of x and y.

Subtracting eq (1) from eq (2), we have

9x+10y - (8x+10y) = - 16-13

9x+10y-8x-10y = - 16-13

Adding like terms, we have

x + 0y = - 29

x = - 29

Putting the value of x in eq (1), we have

9 (-29) + 10y = - 16

-261+10y = - 16

10y = - 16+261

10y = 245

y = 245 / 10

y = 24.5

Hence, the solution of 9x+10y=-16, and 8x+10y=13 is (-29,24.5).