Y=1/3x+2 and y=2/3x-1

Mathematics

1 answer:

padilas [110]4 years ago

4 0

Answer:

The value of x and y is 9, 5.

Step-by-step explanation:

$\ The \ Given \ value:\\\\y=\frac{1}{3}x+2........................(i)\\\\ y= \frac{2}{3}x-1 ..........................(ii)\\\\$

first we subtract the equation (i) to (ii)...

$y=\frac{1}{3}x+2 \\\\y= \frac{2}{3}x-1\\\\0 = \frac{1}{3} x- \frac{2}{3}x + 2+1 \\\\-3= \frac{1-2}{3} x\\\\-3 = - \frac{1}{3}x\\\\ \frac{1}{3} x= 3 \\\\x=9\\\\$

Put the value of x in equation (i) ...

equation (i)

$y= \frac{1}{3} x+2\\\\y= \frac{1}{3} \times 9+2\\\\y= 3+2\\\\y=5\\$

You might be interested in

Find the sum of the integers from -6 to 58

Nat2105 [25]

Answer:the answe would be 45-34

3 0

4 years ago

Below is how tall (in meters) each of the five players on Deandra's basketball team is. 7.1 2 1.5 1.8 1.6 Find the median height

Svetradugi [14.3K]

Answer:

4.45 m

Step-by-step explanation:

From the question above,

Median is the middle of a given data of distribution.

Given:

Data : 7.1, 21.5, 1.8, 1.6.

Rearrenging the date in decending order

21.5, 7.1, 1.8, 1.6.

From the above,

median = (n+1)th/2

median = (7.1+1.8)/2

median = 8.9/2

median = 4.45 m.

Hence the median height = 4.45 m

8 0

3 years ago

Read 2 more answers

What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin

TiliK225 [7]

Answer:

$\large\boxed{y-intercept=20}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{3}{5}x+10\to m_1=\dfrac{3}{5}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{3}{5}}=-\dfrac{5}{3}.\\\\\text{The equation of the searched line:}\ y=-\dfrac{5}{3}x+b.\\\\\text{The line passes through }(15,\ -5).$

$\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\\\\-5=-\dfrac{5}{3}(15)+b\\\\-5=(-5)(5)+b\\\\-5=-25+b\qquad\text{add 25 to both sides}\\\\b=20\\\\\boxed{y=-\dfrac{5}{3}x+20}$