Question

A student is trying to solve the set of two equations given below:Equation A: x + z = 6 Equation B: 2x + 4z = 1Which of the following is a possible step used in eliminating the z-term? (5 points)Multiply equation B by 4.Multiply equation A by 2.Multiply equation A by −4.Multiply equation B by 2.

Answer 1

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.