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3 years ago

Use elimination to solve the system of equations

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

Answer:

A (-5,2)

Step-by-step explanation:

5x+y=-23

7x-3y=-41

3×(5x+y)=3×(-23)

15x+3y=-69

+7x-3y=-41

22x=-110

22. 22

x=-5

5x+y=-23

5(-5)+y=-23

-25+y=-23

+25. +25

y=2

When using elimination you add both equations together so that one variable cancels out the other. In this situation, y can be the variable. You must get the y-variables to cancel out leaving just the x- variables to solve for.

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9. Find the coordinates of point C along line segment AE with A(-2,-4) and

Nana76 [90]

Answer:

$C = (4,-1)$

Step-by-step explanation:

Given

$A = (-2,-4)$

$E = (8,1)$

$AC:CE = 3:2$

Required

Determine the coordinates of C

This is calculated as follows;

$C = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where:

$(x_1,y_1) = (-2,-4)$

$(x_2,y_2) = (8,1)$

$m:n = 3:2$

So, we have:

$C = (\frac{3 * 8 + 2 * -2}{3+2},\frac{3 * 1 + 2 * -4}{3+2})$

$C = (\frac{24 -4}{5},\frac{3-8}{5})$

$C = (\frac{20}{5},\frac{-5}{5})$

$C = (4,-1)$

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3 years ago

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AnnZ [28]

Step-by-step explanation:

reflection along y=x

9/3 units

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3 years ago

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jek_recluse [69]

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2 years ago

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The assembly time for a product is uniformly distributed between 6 to 10 minutes. the expected assembly time (in minutes) is

Marta_Voda [28]

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4 years ago