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3 years ago

5x + y = 9 10x − 7y = −18

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Is this a system of equations?

You might be interested in

How many solutions are there to the equation below?

Elza [17]

Answer:

no solution

Step-by-step explanation:

heres why:

Let's solve your equation step-by-step.

4x−9(x+1)=20−5x

Step 1: Simplify both sides of the equation.

4x−9(x+1)=20−5x

4x+(−9)(x)+(−9)(1)=20+−5x(Distribute)

4x+−9x+−9=20+−5x

(4x+−9x)+(−9)=−5x+20(Combine Like Terms)

−5x+−9=−5x+20

−5x−9=−5x+20

Step 2: Add 5x to both sides.

−5x−9+5x=−5x+20+5x

−9=20

Step 3: Add 9 to both sides.

−9+9=20+9

0=29

so there are no solution

4 0

3 years ago

1. Solve the equation. 35.3 = d - (-2.81) 38.11 32.49 -38.11

belka [17]

35.3 = d - (-2.81)

Double negative = positive

35.3 = d + 2.81

Now subtract 2.81 on both sides

32.49 = d

5 0

2 years ago

a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

7 0

3 years ago

ASAP PLEASE which of the following are maximum and minimum points of the function y=sin(x+pi)

Artemon [7]

I am 80 percent sure it’s c

3 0

3 years ago

A local clothing shop is marking down all of its summer clothes by 75%. sarah would like to purchase a swimsuit that is original

trapecia [35]

a) $80 - ($80 x 0.75)

= $80 - $60

= $20

b) $20 x 0.10

= $2

c) $20 - $2

= $18

5 0

2 years ago