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).
