Identify the best method for solving the given system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.

y=x+4
3x – 4y = -19

The solution is:

Step-by-step explanation:

I think substitution method would be the best method for solving the given system of equations.

The reason is that all we need is to plug in the the value of y i.e. y=x+4 in the equation 3x – 4y = -19, then solve for x, and in the end substitute the value x in the equation y=x+4 to get the y-value.

The other method, elimination method, can also be used, but elimination method in current system of the equations would involve a certain degree of arrangements of the variables and then different multiplying of the equation to eliminate the variables.

Thus, I think substitution method would be the best method for solving the given system of equations.

Let us solve using substitution method

Now, just substitute x=3 in y=x+4

Thus, the solution is:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

$12. that is my answer.