Question

A system of equations is shown below
2x+y=9,x+3y=-13
Which sequence of operations would produce the correct x- or y-value of the solution to this system of equations?
a)multiply the first equation by 3 and add the result to the second equation to eliminate y and solve for x
b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
c)multiply the second equation by 9/13 and add the result to the first equation to eliminate the constant and solve for x and y
d) multiply the second equation by –1 and add the result to the first equation to eliminate x and solve for y

Answer 1

The sequence of operations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)

Solving a system of equations by Elimination

From the question, we are to determine the sequence of operations that would produce the correct x- or y-value of the solution to the given system of equations

The given systems of equations are

2x+y=9

x+3y=-13

• First, multiply the first equation by -3

That is

-3 × (2x+y=9)

-6x-3y=-27

• Now, add to the second equation

-6x-3y=-27

+(x+3y=-13)

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-5x = -40  

Thus, we can solve for x

These sequence of operations will enable us to eliminate y and solve for x

Hence, the sequence of operations that would produce the correct x- or y-value of the solution to the system of equations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x

Learn more on Solving a system of equations by Elimination here: https://brainly.com/question/20699686

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