Consider the system of equations shown below to answer questions Question 21 and 22.
{6х - 3y = 18
{-3x - 9y = -93
Question 21
In order to solve this system of equations using the elimination/combination method, the first thing Emma should do is
• A. multiply the first equation by 3
• B. multiply the first equation by -2
• C. multiply the second equation by 2
• D. multiply the second equation by -3
Question 22
The value of the x will be
• A. -3
• в. 7
• c. 8
• D. 18
For Question 21:
The first thing Emma should do to solve this system of equations using the elimination/combination method is to multiply one of the equations in order to make the coefficients of either x or y the same in both equations so that when the equations are added or subtracted, one variable will be eliminated.
In this case, if we multiply the first equation by 2, we will get:
{12x - 6y = 36
Now, when we add this modified first equation to the second equation, the variable y will be eliminated.
Therefore, the answer is:
• C. multiply the second equation by 2
For Question 22:
After solving the system of equations using the elimination/combination method as described above, we find that x = 7.
Therefore, the answer is:
• в. 7