3 years ago

Find the exact solution for the following system of equations. 2x+3y=48 x+6y=11

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Question 2x+3y=48
Answer x = 24 + -1.5y

Question x+6y=11
Answer x = 11 + -6y

You might be interested in

In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line

ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

$(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )$

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

$( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)$

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

5 0

3 years ago

Is each statement true for parallelogram DEFG? Drag each statement into the correct box.

prisoha [69]

Yes all of them are true

4 0

3 years ago

Select the correct answer. what is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0

Kaylis [27]

Answer:

a. {(0, 7), (-1, 6)}

Step-by-step explanation:

$y = x^{2} +2x+7\\y=x+7$

subtract the equations

$y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1$

for $y = x^{2} +2x+7$ , substitute x = 0

$y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7$

for $y = x^{2} +2x+7$ , substitute x = 0

$y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6$

6 0

2 years ago

Logarithmic and Exponential Forms of Equations In Exercise,Write the logarithmic equation as an exponential equation,or vice ver

lesantik [10]

Answer:

e^-1.6094 = 0.2

Step-by-step explanation:

The inverse of In is e

If In 0.2 = -1.6094

Then e^-1.6094 = 0.2

4 0

3 years ago

on friday,718 peoole went to school play.on saturday,822 people went.about how many oeople saw the play altogether

IrinaVladis [17]

About 1540 people saw the play

3 0

3 years ago