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Kisachek [45]
3 years ago
5

Solve 12x + 4y = 20 for y.

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0

Answer:

y=5-3x

Step-by-step explanation:

sergiy2304 [10]3 years ago
5 0

Answer:

y = -3x + 5

Step-by-step explanation:

12x + 4y = 20

4y = -12x + 20

y = -3x + 5

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solve the system of equations using substitution. 3 multiplied by y equals negative the quantity 1 divided by 2 end of quantity
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3y = -1/2x + 2 . . . . . . . . (1)
y = -x + 9 . . . . . . . . (2)
substituting (2) into (1), we have
3(-x + 9) = -1/2x + 2
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-1/2x + 3x = 27 - 2
5/2x = 25
x = (2 x 25)/5
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y = -10 + 9
y = -1
solution (10, -1)
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dezoksy [38]

Hey there!

  • Answer :

\sf{ \purple{ \boxed{\bold{m =  -  \dfrac{7}{3} }}}}

\\

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We are given the points \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} . To find the slope \sf{\purple{m}} of such a line, we use the slope formula which is the following:

\sf{ \purple{m} }=  \dfrac{\Delta y}{\Delta x}  =  \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}

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\sf{ \purple{m}} =  \dfrac{ \red{ - 1} -  \orange{( - 8)}}{ \green{5} \:   -  \:  \blue{8}}  =  \dfrac{ \:  \: 7 \: }{ -  3 \: }  \\  \\  \implies \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

Therefore, the slope of the line is \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

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