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2 years ago

6

use the substitution method to solve the system of equations choose the correct ordered pair X+y=10 y=x-6

1 answer:

dimaraw [331]2 years ago

3 0

Answer:

(8,2)

Step-by-step explanation:

Set up the equation like this: x+x-6=10. You filled in x-6 for y because the second equation says y=x-6. When you solve, you add 6 to both sides of the equation (this is the addition property of equality in geometry). You now have x+x=16. Now, you can combine like terms (this would be the proof combine like terms in geometry) and you would be able to combine like terms because each of those x's are truely 1x+1x because a variable without a coefficient (the number in front of the variable) is an understood 1. So, (1)x+(1)x=2x. So, you have 2x=16. Now, divide by 2 on each side to get that x alone. This is the division property of equality in geometry. You find x=8. You now have the point (8,y) Now to find the y, plug in the 8 for x in one of the equations. If you plug it into the equation x+y=10 you get 8+y=10. Now subtract 8 from both sides (Subtraction property of equality in geometry). y=2. You get the same answer if you plug in 8 for the other equation. y=8-6. 8-6 is 2. Hope this helps! :)

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System of Equations <br> Need help<br> Trig

Yanka [14]

Looks like the system is

$\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}$

We can eliminate $y$ by taking

$(3x+2y+5z)-2(-2x+y+6z)=16-2(1)$

$\implies3x+2y+5z+4x-2y-12z=16-2$

$\implies7x-7z=14$

$\implies x-z=2$

so that $z=x-2$ , and

$(7x+3y-4z)-3(-2x+y+6z)=11-3(1)$

$\implies7x+3y-4z+6x-3y-18z=11-3$

$\implies13x-22z=8$

Substitute $z=x-2$ into this last equation and solve for $x$ :

$13x-22(x-2)=8$

$\implies13x-22x+44=8$

$\implies-9x=-36$

$\implies x=4$

Then

$z=x-2$

$\implies z=4-2$

$\implies z=2$

Plug these values into any one of the original equation to solve for $y$ :

$-2x+y+6z=1$

$\implies-2(4)+y+6(2)=1$

$\implies-8+y+12=1$

$\implies y=-3$

Hence the solution is x = 4, y = -3, and z = 2.

6 0

3 years ago

Which of the following equations is written in standard form ? A. 2.5x+3=12 B. -10x-3=1 C. 2x+3=12 D. 5x+5y=10

muminat

D. 5x+5y=10

The other 3 could be simplified further and have no y value.

Hope that helps

8 0

3 years ago

Please help me this is due in less than 45 minutes!

Natasha_Volkova [10]

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

5 0

3 years ago

What is the slope of the line given by the equation y= 11x + 5?

Anton [14]

Answer:

The slope is 11

Step-by-step explanation:

y=mx+b

Where m is slope, x is variable, and b is the y-intercept.

5 0

3 years ago

Read 2 more answers

Help plss helppppppppppppppppppppppppppppppppppppppppp

mr_godi [17]

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

answer mujha nahi pata aaaaaaaaaàaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

3 0

3 years ago