Use substitution to solve the system of equations.

y = 2x + 16
2x – 7y = –64

question 6 options:

(–4, 8)

(–1, 11)

(8, –4)

(–7, –11)

(-4, 8)

Step-by-step explanation:

The two equations in the system are:

We are asked to use substitution, so we select the first equation as our substitution equation, since we have it already expressed in the form that indicates what the unknown "y" is in terms of the unknown "x" (y=2x+16)

we can therefore substitute the "y" in the second equation by "2x+16" and convert the equation into one that can be solved with only one unknown (x):

Now that we have the value for "x", we can use it in the first equation (the one we use as substitution) to find what y is:

Then, the pair: x = -4 and y = 8 is our solution. We write it in coordinate pair form as: (-4, 8)

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