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Sindrei [870]
3 years ago
15

Solve the following system. 5x - 5y + 8z = 6 x + 2y + z = 12 3y - z = 10

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

The answer is (2,4,2)

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Hence find the value of x that satisfies the two equations y =
sammy [17]

Answer:

x=6

Step-by-step explanation:

since y=5x/2-7, and y=4x/3

         so 5x/2-7=4x/3

              5x/2-4x/3= 7

              15x-8x/6=7

               7x/6=7

               x= 7*6/7= 6

5 0
2 years ago
Solve each equation by factoring.<br> (x – 7)(2x - 3) = 0
Orlov [11]

Answer:

x = 7 and 3/2

Step-by-step explanation:

We can say:

x - 7 = 0 and 2x - 3 = 0

<em>Lets solve for x - 7 = 0 first:</em>

Add 7 to each side of "="

=> <u>x = 7</u>

<em>Now lets solve for 2x - 3 = 0</em>

First add 3 to each side of "="

=> 2x = 3

Now divide each side by 2

<u>=> x = 3/2</u>

Hope this helps!

5 0
2 years ago
What is the equation, in point slope form, of the line
melamori03 [73]

Answer:

y=3/2x+11/2

Step-by-step explanation:

Hello! Sorry  I just saw this

Anyways, let's continue

first, we need to find the equation of the line with the one that is (-2,-4) and (2,2)

first, we need to find the slope

the equation for slope is y2-y1/x2-x1

so let's label the points

x1=-2

y1=-4

x2=2

y2=2

now plug it in

2-(-4)/2-(-2)=6/4=3/2

now, let's turn it into a line

the point-slope form is y-y1=m(x-x1) (m=slope)

now, plug it in

y-(-4)=3/2(x-(-2))

simplify to

y+4=3/2(x+2)

turn into y=mx+b format

y+4=3/2x+3

subtract 4 on both sides

y=3/2x-1

Now for the line that is parallel.

Parallel lines have the same slopes, so you automatically know that the new line will be y=3/2x+b

To make sure (-3,1) is a solution to the point, put 1 as y and -3 as x

1=3/2(-3)+b

1=-9/2+b

add 9/2 on both sides

b=11/2 or 5.5

now, put it into the equation

y=3/2x+11/2

Hope this helps!

5 0
3 years ago
1. You roll a standard number cube. Find P(number greater than 2).
ra1l [238]

Answer:

P={3,4,5,6}

Step-by-step explanation:

Cube=6 sides={1,2,3,4,5,6}

P>2

P={3,4,5,6}

7 0
3 years ago
15=29-x<br> x=??????????????
zhuklara [117]

15 = 29 - x

15 + x = 29

x = 29 - 15

x = 14

6 0
2 years ago
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