Question 4 of 10 What should you multiply the first equation (top equation) by in order to eliminate the variable $$ x $$ when the two equations are added together? $$ \left\{\begin{array}{l}2 x-3 y=10 \ 6 x+4 y=8\end{array} ight. $$ Answer here

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Question 4 of 10 What should you multiply the first equation (top equation) by in order to eliminate the variable $$ x $$ when the two equations are added together? $$ \left\{\begin{array}{l}2 x-3 y=10 \ 6 x+4 y=8\end{array}ight. $$ Answer here

UpStudy AI · Accepted Answer

To eliminate the variable $$ x $$ when adding the two equations together, we need to make the coefficients of $$ x $$ in both equations equal.

The given equations are:

1. $$ 2x - 3y = 10 $$ (Equation 1)
2. $$ 6x + 4y = 8 $$ (Equation 2)

The coefficient of $$ x $$ in Equation 1 is $$ 2 $$, and in Equation 2, it is $$ 6 $$. To make these coefficients equal, we can multiply Equation 1 by $$ 3 $$ (since $$ 3 \times 2 = 6 $$).

Now, let's summarize the steps:

1. Multiply Equation 1 by $$ 3 $$:
   $$
   3(2x - 3y) = 3(10)
   $$
   This gives us:
   $$
   6x - 9y = 30
   $$

2. Now we can add this modified Equation 1 to Equation 2:
   $$
   (6x - 9y) + (6x + 4y) = 30 + 8
   $$

Thus, the answer is that you should multiply the first equation by $$ 3 $$ to eliminate the variable $$ x $$.
You should multiply the first equation by 3 to eliminate the variable $$ x $$.

Question 4 of 10 What should you multiply the first equation (top equation) by in order to eliminate the variable \( x \) when the two equations are added together? \( \left\{\begin{array}{l}2 x-3 y=10 \\ 6 x+4 y=8\end{array}\right. \) Answer here

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