The steps that would perform to the system of equations are option is Choice D; Multiply both sides of the bottom equation by 2.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given system of equations are;
4x + 2y = 4
12x - y = 26
We need to find the steps that would perform to the system of equations below so that the equations have opposite y-coefficients.
The y coefficient of the first equation is 2.
For the other equation that y coefficient is -1.
We need these coefficients to be equal but opposite. One way to do this is to double everything in the bottom equation.
The bottom equation 12x-y = 26 doubles to 24x - 2y = 52
At this point we have the equivalent system of equation and we can see that we have equal but opposite y coefficients (2 and -2).
The y terms add to 0 since 2y + (-2y) = 0y = 0 meaning we've eliminated y.
therefore, the correct option is Choice D; Multiply both sides of the bottom equation by 2.
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