Solve the system of equations. 6x-5y=-32, -7x+8y=46

x = -2

y = 4

Step-by-step explanation:

6x-5y=-32

-7x+8y=46

Solve for x in the first equation.

6x = -32 + 5y

x = (-32 + 5y) /6

x = 5/6y - 16/3

Put x as 5/6y - 16/3 in the second equation and solve for y.

-7(5/6y - 16/3) +8y = 46

-35/6y+112/3 +8y = 46

13/6y + 112/3 = 46

13/6y = 46 - 112/3

13/6y = 26/3

y = 26/3 × 6/13

y = 4

Put y as 4 in the first equation and solve for x.

6x-5(4)=-32

6x-20 = -32

6x = -32+20

6x = -12

x = -12/6

x = -2

step-by-step explanation:

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!