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Zinaida [17]
3 years ago
5

The graph of a system of equations with the same slope will have no solutions

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0
Hey there,

If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of twoparallel lines will have NO solution (no intersection of the lines.)

Hope this helps!
vampirchik [111]3 years ago
5 0

Answer with explanation:

The two linear equations,

1.⇒  y = ax + b

And,2.⇒ y= a x+ c

As well as,3.⇒ 2 y = 2 a x + 2 b or ,⇒ k y= k a x + k b

All the three lines has same slope.

⇒Line 1 and 2 are parallel lines due to different y intercepts, and Line 2 and Line 3 has also same slope but they are coincident.

⇒⇒So,yes when lines are Parallel that is they have same slope has no Solution, but lines which are Coincident having same Slope has infinite number of Solutions.

⇒Incorrect Statement

    The graph of a system of equations with the same slope will have no solutions

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You want to get it to the slope intercept form first.

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1.5 = 0 + b

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-1.2= y/2.4 -1.7<br> Solve for y
evablogger [386]

{\huge{\boxed{\sf{Question}}

-1.2= y\div2.4 -1.7

Solve for y

{\huge{\boxed{\sf{Answer\:with\:explanation }}}

let's put our equation first

-1.2= y\div2.4 -1.7

Flip the equation

y\div2.4-1.7=-1.2

Now follow the rule of BOMDAS/PEMDAS

{\huge{\boxed{\sf{BOMDAS }}}

  • Brackets
  • Of multiplication
  • Division
  • Addition
  • Subtraction

{\huge{\boxed{\sf{PEMDAS}}}

  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

_________________________

{\huge{\boxed{\sf{Solve\:the\:equation}}}

_________________________

y\div2.4-1.7=-1.2

{\underline{simplify}}

0.416667y-1.7=-1.2

add 1.7 to both sides

0.416667y=0.5

Divide both sides by 0.416667

y=1.2

{\huge{\boxed{\sf{Answer}}}

y would equal 1.2

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