Question

solve the following system of equations graphically and form the graph, find the points where these lines intersect the y axis. x-2y=2,3x+5y=17

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$Given \: equations \: x - 2y = 2 \: --(1)$

$i) If \: x = 0 \: then \: y = -1$

$ii) If \: x = 2 \: then \: y = 0$

$iii) If \: x = 4 \: then \: y = 1$

$Plotting \:the \: points \: A(0,-1), B(2,0)$

$and \: C(4,1)on \:the \:graph$

$we \:get \:a \: straight \:line .$

$x-2y = 2 \:line \: intersects \:Y-axis \:at \:A(0,-1)$

$Equation \:3x + 5y = 17 \: --(2)$

$iv) If \: x = 4 \: then \: y = 1$

$v) If \: x = -1 \: then \: y = 5$

$vi) If \: x = 0 \: then \: y = \frac{17}{4}$

$3x+5y = 17 \:line \: intersects$

$Plotting \:the \:points \: D(4,1), E(-1,5) \:and$

$\Big( 0, \frac{17}{4}\Big)\: on \:the \:graph$

$we \:get \:a \: straight \:line$

$Y-axis \:at \:E\Big( 0, \frac{17}{4}\Big)$

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