Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =

The missing value is 12

Step-by-step explanation:

we know that

If the system of equations has infinitely solutions , then the two equations must be the same

so

---->  -----> equation A

Multiply equation A by 3 both sides

----> equation B

-----> equation C

equate equation B and equation C

The missing value is 12

12

Step-by-step explanation:

We are given that two equations

We have to find the value in the blank space when we place that value  then system of equations have infinitely many solutions

Equation I can be written as

Let a be the value that placed in blank space and system have infinitely many solutions

Then

We know that condition of infinite solutions

Substitute the values then we get

a=12

Hence, when we placed 12 in the box then system of equations would have infinitely many solutions .

'

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!