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solve using substitution: 4x+9y=24 y=1/3x+2Asked by Taylor
solve using substitution:
4x+9y=24
y=1/3x+2
4x+9y=24
y=1/3x+2
Answers
Answered by
Bosnian
y = ( 1 / 3 ) x + 2
4 x + 9 y = 24
4 x + 9 [ ( 1 / 3 ) x + 2 ] = 24
4 x + ( 9 / 3 ) x + 18 = 24
4 x + 3 x + 18 = 24
7 x + 18 = 24 Subtract 18 to both sides
7 x - 18 = 24 - 18
7 x = 6 Divide both sides by 7
x = 6 / 7
y = ( 1 / 3 ) x + 2
y = ( 1 / 3 ) 6 / 7 + 2
y = 1 * 6 / ( 3 * 7 ) + 2
y = 6 / 21 + 2
y = 6 / 21 + 42 / 21
y = 48 / 21
y = 3 * 16 / ( 3 * 7 )
y = 16 / 7
4 x + 9 y = 24
4 x + 9 [ ( 1 / 3 ) x + 2 ] = 24
4 x + ( 9 / 3 ) x + 18 = 24
4 x + 3 x + 18 = 24
7 x + 18 = 24 Subtract 18 to both sides
7 x - 18 = 24 - 18
7 x = 6 Divide both sides by 7
x = 6 / 7
y = ( 1 / 3 ) x + 2
y = ( 1 / 3 ) 6 / 7 + 2
y = 1 * 6 / ( 3 * 7 ) + 2
y = 6 / 21 + 2
y = 6 / 21 + 42 / 21
y = 48 / 21
y = 3 * 16 / ( 3 * 7 )
y = 16 / 7
Answered by
Reiny
You posted the same question 3 times within about 20 minutes, causing an unnecessary duplication in a solution.
Have patience.
Have patience.
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