Solve the system by substitution y=2x-6 y=-x

The solution to the system of equations will be:

(x, y) = (2, -2)

Step-by-step explanation:

Given the system of equations

y=2x-6

y=-x

Solving the system of equations

Substitute y = -x in y = 2x-6

y = 2x-6

-x = 2x-6

6 = 2x + x

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 2

Now substitute x = 2 in y=-x

y=-x

y = -2

Therefore, the solution to the system of equations will be:

(x, y) = (2, -2)

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!