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Crank
3 years ago
8

2x+3y=1, -x+2y=-4 solve using substitution method

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Step-by-step explanation:

1) 2x+3y-3y=1-3y. -x+2y= -4

2x/2=1-3y/2. -(1-3y/2)=-4

x=1-3y/2. -1+3y/2= -4

x=1-3(-2)/2 3y/2= -4+1

x=1+6/2 3y/2×2/3= -3×2/3

x=7/2 y= -2

S.s{ 7/3,-2}

2). -4x-6y+6y=7-6y. 4x+y= -2

-4x/-4=7-6y/-4. 4(-7-6y/4)+y= -2

x= -7-6y/4. -7-6y+y = -2

x= -7-6/4 -5y/5= 5/5

x=-13/4 y= 1

S.s { -13/4, 1 }

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4 0
2 years ago
Endpoint (-10,9); midpoint (2,5)
Sergeu [11.5K]
<u>x₂ + x₁</u> = m         <u>y₂ + y₁</u> = m<u>
</u>    2                         2
<u>
</u>-10 = x₂
<u />9 = y₂

2=m
5=m

Plug in given numbers

<u>-10 + x</u> = 2                <u>9 + y</u><u /> = 5
      2                              2
Solve

<u>-10 + x</u> = 2*2
     2 *2

-10 + x = 4
+10        +10
         x = 14
(9 + y)/2(2) = 5 (2)
9 + y = 10
-9         -9
      y=1

Final Answer: (14,1)




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4 years ago
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