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3 years ago

What is the solution to the system?

1 answer:

7 0

Point slope form again

-3-9/3+1= -3

y+1=-3(x-9)

y+1=-3x+27

y=-3x+26

5+1/2+1=2

y+1=2(x+1)

y+1=2x+2

y=2x+1

For your system of equations you have

y={y=-3x+26}
y={y=2x+1}

There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.

2x+1=-3x+26

5x+1=26

5x=25

x=5

So now you just plug in x = 5 for each quotation and you have your y's for both solution points

y=-3(5)+26
y=11

y=2(5)+1
y=11

So this works out nice, your solutions for the set of equations is (5,11) since they are the same points

You might be interested in

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

4 years ago

Can u please help me with this 2 problem please

Mice21 [21]

<h2>19.</h2><h3>Given</h3>

window width and height are in proportion to building width and height
window width and height are 11 in and 18 in, respectively
building height is 108 ft

building width

<h3>Solution</h3>

The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

... (building width) = (building heigh) × (window width)/(window height)

... (building width) = 108 ft × (11 in)/(18 in)

... building width = 66 ft

<h2>21.</h2><h3>Given</h3>

map distance = 6.75 in
map scale = 1.5 in : 5 mi

actual distance

<h3>Solution</h3>

The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi

6 0

3 years ago

A taxi service charges an initial fee plus $1.80 per mile. How far can you travel for 14$

BigorU [14]

14 / 1.8 = 7.77777778

about 7.77777778 miles

but it depends on what the initail fee is

3 0

3 years ago

I need help with this problem please help me find the answer

olga55 [171]

It’s 14.

The five numbers will be: 12, 13, 14, 15, and 17 so 14 is the median.

7 0

3 years ago

(6x+40)º

Naddik [55]

Answer:

We know that angles B and D/A and C are congruent, this is because all opposite angles within a parallelogram are congruent.

(6x+40) + (x) = 180

7x + 40 = 180

7x = 140

x = 20

The Value of X is 20.

5 0

3 years ago