0. Solve the following systems by using the substitution method. 16x
6x + 3y - 0
b)
13x-y-3
(x + 3y = 5
(5x + 7y=13
(3x + 914
12x + 3y -
fx - 4y = 11
15x + 7yol
Sol.: a) (1/2, 3/2); b) (3/5, -6/5); c)(-1/3,5/9), d), 2)
Solve the following systems by using the substitution method.
3x+2y=23
3x+2y-14 x+3y = 4
3x-y-171
2x - 5y = -16 2x-yol
2x + y = 8
b)
C) 2x - y = 1)
x+y=8
Sol.: a) (7.1); b) (4.2); c) (1.1); d) (5,-2).​

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b