Question

1) In order for the addition method to eliminated x from the two equations in a system, whatmust be true about the x-terms in the two equations?

Answer 1

Step-by-step explanation

When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.

so, for instance:

`\begin{gathered} x+y=25 \\ -x+10y=30 \end{gathered}`

to solve this by additio method, add the equations, you gill get x eliminated

`\begin{gathered} x+y=25 \\ -x+10y=30 \\ \text{add}_(----------) \\ 11y=55 \\ y=(55)/(11) \\ y=5 \\ \text{and } \\ x+5=25 \\ x=25-5 \\ x=20 \end{gathered}`

so, in bbrie,