Find the solution to the system -6×+8y=12 and -3×+4y=6

y = 3/4x + 3/2

x = 4/3y - 2

There are infinitely many solutions.

To prove these equation are the same

multiply every quantity by 2 using the multiplication property of equality.

[ -6x + 8y = 12 ] = 2 [ -3x + 4y = 6 ]

2(-3x) + 2(4y) = 2(6) = 2(-3x) + 2(-4y) - 2(6) = -6x + 8y = 12 = -6x + 8y - 12

2(-3x) + 2(4y) - 2(6) = -6x + 8y - 12

-6x + 8y - 12 = -6x + 8y - 12

+6x -8y +12 +6x -8y + 12

(The general property of equality, what you do to one side, you must do to the other)

0 = 0 [always true]

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

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!