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Gekata [30.6K]
3 years ago
7

How to solve for the two variables using substitution

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
To subsitute, we need to solve for 1 variable
let's solve for x in bottom equation


x-2y=2
add 2y both sides
x=2y+2
sub 2y+2 for x in other equation

-5(2y+2)+3y=11
-10y-10+3y=11
-7y-10=11
add 10 to both sides
-7y=21
divide both sides by -7
y=-3

sub back
x=2y+2
x=2(-3)+2
x=-6+2
x=-4

(x,y)
(-4,-3)
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James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c
swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

6Z=3(Z+8)

6Z-3Z=24

3Z=24

Divide both sides by 3.

Z=8

Therefore, the required equation is 6Z=3(Z+8) is age of zach is 8 years.

5 0
3 years ago
Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing
icang [17]

The ansa is 256=(12+x)(12+x)

6 0
2 years ago
A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep
prohojiy [21]
The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
\sqrt{ (x-a)^{2}+ (y-b)^{2} }

Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
\sqrt{ (x-a)^{2}+ (y-b)^{2} }=y-c
(x-a)^{2}+ (y-b)^{2}= (y-c)^{2} ⇒ substituting a, b and c
(x-2)^{2}+ (y--0.5)^{2}  = (y--1.5)^{2}
(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}⇒Rearranging and making y the subject gives

y= \frac{ x^{2} }{2} -2x+1

7 0
3 years ago
5+5 What is it........................................
Elza [17]

Answer:

I dont even want to answer this cause I know its a joke

Step-by-step explanation:

5+5=10

7 0
2 years ago
Amber determined that the expression -1/2 divided by -41/15 is equivalent to 15/82. Which statement describes the process Amber
ddd [48]
Amber could have used cross multiplication.

Have a great day!!!!
5 0
3 years ago
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