Question

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

x=
y=​

Answer 1

x = -1 , y = 0

Explanation:

Adding the 2 equations eliminates the y terms so we have

14x = -14

x = -1

Substitute for x in first equation:-

-10y - 9 = -9

-10y = -9 + 9 = 0

y = 0

Answer 2

The values of both variables are:

`x=-1\\y=0`

Explanation:

In order to determine the answers, we have to know about system of equations.

When there is a system of equations, we have to see how many variables are and how many equations are. Both amounts must be equal.

Then, there are many ways to find the values of the variables. The most common is eliminating a variable. We need to equal the coefficient in both equations, but with a different sign.

In this case, we want to eliminate the variable "y". As we can see, the coefficients are the same, but with different sign.

Adding both equations:

`-10y+9x=-9\\10y+5x=-5\\\\-10y+10y+9x+5x=-9-5\\14x=-14\\x=(-14)/(14) \\x=-1\\\\-10y+9*(-1)=-9\\-10y-9=-9\\-10y=-9+9\\-10y=0\\y=0`

Finally, the values of both variables are:

`x=-1\\y=0`