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3 years ago

-3x+5y=-9 and 4x+8y=12

Mathematics

2 answers:

liq [111]3 years ago

7 0

Let's solve your system by substitution.

−3x+5y=−9;4x+8y=12

Step: Solve−3x+5y=−9for x:

−3x+5y=−9

−3x+5y+−5y=−9+−5y(Add -5y to both sides)

−3x=−5y−9

−3x

−3 = −5y−9 −3

(Divide both sides by -3)

y+3

Step: Substitute

y+3forxin4x+8y=12:

4x+8y=12

y+3)+8y=12

y+12=12(Simplify both sides of the equation)

y+12+−12=12+−12(Add -12 to both sides)

y=0

(Divide both sides by 44/3)

y=0

Step:

3 y+3:

x= 5

3 y+3

x= 5

3 (0)+3

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=0

insens350 [35]3 years ago

4 0

-3x + 5y = -9

4x + 8y = 12

Simplify the second,

x + 2y = 3

Times three,

3x + 6y = 9

Add to the first equation,

11y = 0

y = 0

-3x + 5(0) = -9

x = 3

Answer: x=3, y=0

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$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$