Put -3x+2y=10 into y=mx+b

Mathematics

2 answers:

Goryan [66]3 years ago

4 0

Answer:

y = 3/2x + 5

Step-by-step explanation:

-3x + 2y = 10

+3x +3x Add 3x to both sides

2y = 3x + 10 Divide both sides by 2

y = 3/2x + 5

Natasha2012 [34]3 years ago

3 0

Answer:

y=3/2x+5

Step-by-step explanation:

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Step-by-step explanation:

$y = 2x - 7...(1) \\ y = 5x + 4...(2) \\ from \: equations \: (1) \: and \: (2) \\ 5x + 4 = 2x - 7 \\ \therefore \: 5x - 2x = - 7 - 4 \\ \therefore \: 3x = - 11\\ \huge \red{ \boxed{\therefore \: x = - \frac{11}{3} }}\\ substitutig \: x = - \frac{11}{3} in \: equation \: (1) \\ y = 2 \times (- \frac{11}{3}) - 7 \\ \\ \therefore \: y = - \frac{22}{3} - 7 \\ \\ \therefore \: y = \frac{ - 22 - 21}{3} \\ \\ \huge \orange{ \boxed{\therefore \: y = - \frac{ 43}{3}}}\\\\(x, \:y) = \{- \frac{11}{3}, - \frac{ 43}{3}\} \:$