Q:

solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52

Accepted Solution

A:
ANSWERThe solution is(x,y)=(1,-5)EXPLANATIONThe equations are:1st equation: 6x +5y=-19 2nd equation: 12x-8y=52Multiply the first equation by 2:3rd equation: 12x +10y=-38Subtracy the 2nd equation from the 3rd equations.12x-12x+10y--8y=-38-5218y=-90Divide both sides by 18.y=-5Put y=-5 into any of the equations and solve for x.Preferably, the first equation will do.6x +5(-5)=-19 6x -25=-19 6x=25-19 6x=6x=1The solution is(x,y)=(1,-5)