Answer:
x=3, y=-4
Explanation:
The intersection points of these two equations are the values of x and y. You can use graphical method for solving it or mathematical equation.
The equations given are;
2x-y=10 Equation 1
x+3y=-9 Equation 2
Multiplying equation 1 by 3 and equation 2 by -1 ie the figures before the y
6x-3y=30 Equation 3
-x-3y=9 Equation 4
Subtracting the values of x, y and RHS for both equations 3 and 4
(6- -1)x=7x
(-3- -3)y=0
(30-9)=21
Therefore,
7x=21
Solving for x
x=21/7=3
x=3
To find y, substitute the value of x in equation 1 hence
2(3)-y=10
y=6-10=-4
y= -4