Move variable to the right side and change its sign: +5y -6x=1-5y
Divide both sides of the equation by -6 -6x=1-5y -6 -6 x=-1/6+5/6y
Substitute the given value of x into the equation 6x+4y=-10 6(-1/6+5/6y)+4y=-10
Solve for y
Distribute 6 through the parenthesis: 6(-1/6+5/6y) -1+5y+4y=-10 Collect the like terms: 5y+5y -1+9y=-10 Move constant to the right side and change its sign: -1 9y=-10+1 Calculate the sum or difference: -10+1 9y=-9 Divide both sides of the equation by 9 9y=-9 -9 -9 y=-1
Substitute the given value of y into the simplest equation: 6x+4y=-10 6x+4*(-1)=-10 Any expression multiplied by -1 equals its opposite: 4*(-1) 6x-4=-10 Move constant to right and change sign: -4 6x=-10+4 Calculate sum or difference: -10+4 6x=-6 divide both sides by 6 6x=-6 6 6 x=-1
The solution of the system is the ordered pair (x,y) (x,y)=(-1,-1) Check if the given ordered pair is the solution of the system of equations -6*(-1)+5*(-1)=1 6*(-1)+4*(-1)=-10
Simplify the expression: -6*(-1)+5*(-1)=1 1=1 Simplify the expression: 6*(-1)+4*(-1)=-10 -10=-10
The ordered pair is the solution of the system of equations since both equations are true (x,y)=(-1,-1)