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jeka94
3 years ago
11

SOLVE THE SYSTEM USING SUBSTITUTION HURRY ILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
5)Substituting any of the following equations; i chose bottom into top:
-2x+5=x+2
=>-3x=-3
=>x=1
Sub the x in any of the eqs to find y so
Y=1+2
=>Y=3
ANS: (1,3)

6) substituting the top equation into the bottom one:
3x+2x+4=9
=>5x=13
=>x=13/5 or 2.6
Sub the x in any of the eqs to find the y so
Y=5.2+4
=>y=9.2
ANS: (2.6, 9.2)

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Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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Find the first, fourth, and eighth terms of the sequence. A(n) = –3 • 2^n–1
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for n = 2 ,  A₂ = -3.(2)¹ = -6
for n = 3 ,  A₃ = -3.(2)² = -12
for n = 4 ,  A₄ = -3.(2)³ = -24
...........................................
for n = 8 ,  A₈ = -3.(2)⁷ = -384


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