Q. Find the solution of the system of equations.−8x+12y6x−6y=−16=0Submit Answer
Write Equations: Write down the system of equations.We have the following system of equations:−8x+12y=−166x−6y=0Let's solve this system using the method of substitution or elimination.
Simplify Relationship: Simplify the second equation to find a relationship between x and y. We can divide the second equation by 6 to simplify it: 6x−6y=0x−y=0 This implies that x=y.
Substitute and Solve: Substitute x=y into the first equation.Substituting x=y into the first equation gives us:−8y+12y=−16Now, we can solve for y.
Combine Terms: Combine like terms and solve for y.−8y+12y=−164y=−16Now, divide both sides by 4 to find y:y=4−16y=−4
Find x: Substitute y=−4 back into the equation x=y to find x.Since x=y, we have:x=−4
Write Solution: Write down the solution to the system of equations.The solution to the system of equations is x=−4 and y=−4.