AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Solve the following system of equations by elimination.
Full solution
Q. Solve the following system of equations by elimination.
- Write Equations: Write down the system of equations to be solved.We will use the elimination method to solve this system.
- Multiply First Equation: Multiply the first equation by so that the coefficient of in both equations is the same (but with opposite signs).Now the system of equations is:
- Add Equations: Add the two equations together to eliminate .This simplifies to:
- Solve for y: Solve for y by dividing both sides of the equation by -13＂).\(\newline\$-13y / -13 = -39 / -13\)\(\newline\)\(y = 3\)
- Substitute and Solve for \(x\): Substitute \(y = 3\) into one of the original equations to solve for \(x\). We'll use the second equation.\(\newline\)\(8x + 3y = 1\)\(\newline\)\(8x + 3(3) = 1\)\(\newline\)\(8x + 9 = 1\)
- Subtract to Solve for x: Subtract \(9\) from both sides of the equation to solve for \(x\).\(\newline\)\[8x + 9 - 9 = 1 - 9\]\(\newline\)\[8x = -8\]
- Divide to Find x: Divide both sides of the equation by \(8\) to find the value of \(x\).\(\newline\)\[\frac{8x}{8} = \frac{-8}{8}\]\(\newline\)\(x = -1\)
More problems from Write an equation word problem
QuestionGet tutor help
