You can put this solution on YOUR website! In detail steps i will show you how to solve the equation in elimination method!
---------------------------------------------------------------------------------
2x+5y+13=0_2x+5=3y
Move all terms containing variables to the left-hand side of the equation.
2x+5y+13=0_2x+5-3y=0
Move all terms containing variables to the left-hand side of the equation.
2x+5y+13=0_2x-3y+5=0
Move all terms not containing a variable to the right-hand side of the equation.
2x+5y=-13_2x-3y+5=0
Move all terms not containing a variable to the right-hand side of the equation.
2x+5y=-13_2x-3y=-5
Multiply the first equation by -1 to make the coefficients of x have opposite signs.
-(2x+5y)=-(-13)_2x-3y=-5
Multiply -1 by the -13 inside the parentheses.
-(2x+5y)=13_2x-3y=-5
Multiply -1 by each term inside the parentheses.
(-2x-5y)=13_2x-3y=-5
Remove the parentheses around the expression -2x-5y.
-2x-5y=13_2x-3y=-5
Add the two equations together to eliminate x from the system.
2x-3y=-5_-2x-5y=13_ -8y= 8
Divide each term in the equation by -8.
y=-1
Substitute the value found for y into the original equation to solve for x.
-2x-5(-1)=13
Multiply -5 by each term inside the parentheses.
-2x+5=13
Move all terms not containing x to the right-hand side of the equation.
-2x=8
Divide each term in the equation by -2.
x=-4
This is the final solution to the independent system of equations.
Solution: y=-1
x=-4
