What is the solution of system of equations. Y=1/3x+2 y=4/3x-5

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

When x = 7

Y=1/3x+2
Y=1/3(7) + 2
Y = 7/3 + 2
Y = 7/3 + 6/3
Y = 13/3

and
y=4/3x-5
y=4/3(7)-5
y=28/3 - 5
y = 28/3 - 15/3
y = 13/3

answer
(7, 13/3) is the solution

You might be interested in

Which function is most likely graphed on the coordinate plane below? y у

Sindrei [870]

Answer:b

Step-by-step explanation:

i took it

7 0

2 years ago

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

Tomtit [17]

Point, line, and plane are the undefined expression that relinquish the starting location for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. This procedure must eventually abort; at some stage, the definition must use a word whose meaning is accepted as intuitively clear. Because that meaning is accepted without definition, we refer to these words as undefined terms. These terms will be used in defining other terms. Although these expressions are not formally defined, a brief intuitive dialogue is needed. A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point constitute position only. A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has boundless length, zero width, and zero height. Any two points on the line name it. The symbol ↔ written on top of two letters is used to denote that line. A plane may be contemplating as an infinite set of points creating a connected flat surface extending infinitely far in all directions. It is usually represented in drawings by a four‐sided figure. A single capital letter is used to designate a plane.

4 0

3 years ago

Read 2 more answers

Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

$A(t) = A(0)(1+r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

$A(t) = A(0)(1+r)^t$

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$