Answer:
a=-4
Step-by-step explanation:
[tex]ax+3y=2[/tex] and [tex]4x+5y=6[/tex]
In elimination method we try to eliminate one variable
To eliminate one variable we need to make the coefficients same with different sign
to eliminate the variable x we need to make the number before x same and with different sign
In the second equation the coefficient of x is 4
so the value of 'a' should be -4 to eliminate
a=-4
The value of "a" for which you can solve the linear system by elimination is 4.
Given the following systems of equation:
To determine the value of "a" for which you can solve the linear system by elimination:
The elimination method is a mathematical method that is used in solving two (2) systems of equation by eliminating one of the variables by either subtracting or adding in conjunction with the division or multiplication of each of the coefficients of the variables.
Since we were instructed not to multiply first, we would go ahead to solve for a value of "a" that would eliminate "4x" as follows:
[tex]ax-4x=0\\\\ax=4x\\\\a=4[/tex]
a = 4
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