What is the solution to this system of equations? {5x−2y=1y=3x−2

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

x=3/2. & y=5/2

Step-by-step explanation:

5x-3y=0.......(1)

3x-y=2.........(2)

from equation 2: y=3x-2

substitute in equation 1

5x-3(3x-2)=0

5x-9x+6=0

-4x= -6

X=3/2

Y=3(3/2)-2

=5/2

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Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$