Ashley wants to solve the following system of equations by using the elimination method.%C2%A0 What integer should she multiply the second equation by to eliminate a variable when you add the equations? 8x+y=4 8 ��� + ��� = 4 8x+3y=10 8 ��� + 3 ��� = 10 (1 point) Responses −12 − 1 2 negative 1 half 2 2 1 1 1 -1
3 answers
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how
To use the elimination method, Ashley needs to make one of the variables have the same coefficient in both equations so that when she adds the equations, that variable is eliminated.
In this case, the variable y has a coefficient of 1 in the first equation and a coefficient of 3 in the second equation. To eliminate the variable y, Ashley needs to make the coefficients of y in both equations the same.
To do this, she needs to multiply the first equation by a certain integer so that the coefficient of y in both equations is the same. This integer will be the one that she needs to multiply the second equation by.
In this case, the coefficient of y in the first equation is 1 and in the second equation is 3. To make them the same, she needs to multiply the first equation by 3.
So, the integer she should multiply the second equation by to eliminate a variable when adding the equations is 3.
In this case, the variable y has a coefficient of 1 in the first equation and a coefficient of 3 in the second equation. To eliminate the variable y, Ashley needs to make the coefficients of y in both equations the same.
To do this, she needs to multiply the first equation by a certain integer so that the coefficient of y in both equations is the same. This integer will be the one that she needs to multiply the second equation by.
In this case, the coefficient of y in the first equation is 1 and in the second equation is 3. To make them the same, she needs to multiply the first equation by 3.
So, the integer she should multiply the second equation by to eliminate a variable when adding the equations is 3.