Question

Find the point of intersection of the graphs of the following equations.
x = 5, y + x = 3

Answer 1

Answer:

( x,y ) = ( 5,2 )

Step-by-step explanation:

$to \: find \: the \: point \: of \: intersection \: \\ \\ we \: solve \: the \: 2 \: equations \: \\ simultaneously \: \\ (by \: substituting \: method \: ) \\ x = 5 \\ y + x = 3 \\ substitute \: \\ x = 5 \: into \: y + x \: = 3 \\ 5 + y = 3 \\ y = - 2 \\ substitute \: y = - 2 \: \\ obtained \: from \: above \: \\ into \: y + x = 3. \\ - 2 + x = 3 \\ x = 5 \\ \\ therefore \\ \: x = 5 \: \: and \: y = 2 \: \\ forms \: a \: coordinate \: . \\ which \: is \: also \: \\ the \: point \: of \: intersection \: \\ between \: the \: equations \: \\ x = 5 \: and \: y + x = 3.$

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