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mrs_skeptik [129]
3 years ago
12

Solve using substitution: 2x - 3y = -1 y = x - 1

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

<em>Answer:</em>

<em>x=4 y=3</em>

<em>Step-by-step explanation:</em>

<em>rewrite the equations- y=x-1 2x-3y=-1</em>

<em>solve y=x-1 for y</em>

<em>y=x-1</em>

<em>sub for x-1 for y in 2x-3y=-1</em>

<em>2x-3y=-1</em>

<em>2x-3(x-1)=-1</em>

<em>-x+3=-1</em>

<em>-x+3+-3=-1+-3</em>

<em>-x=-4</em>

<em>divide both sides by -4</em>

<em>x=4</em>

<em>sub 4 for x in y=x-1</em>

<em>y=x-1</em>

<em>y=4-1</em>

<em>y=3</em>

<em>WE ARE VENOM</em>

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If you're using the app, try seeing this answer through your browser:  brainly.com/question/2752942

_______________


Solve the equation:

\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}


Reduce the fractions at the left side so that they have the same denominator:

\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}


Numerators must be equal:

\mathsf{8x-32-(9x-45)=5}\\\\&#10;\mathsf{8x-32-9x+45=5}\\\\&#10;\mathsf{8x-9x=5+32-45}\\\\&#10;\mathsf{-x=-8}\\\\&#10;\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}


I hope this helps. =)


Tags:  <em>rational equation fraction solution algebra</em>

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