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0 votes
162 views
in Algebraic Expressions by (25 points)
Solve the equation graphically and symbolically

X+7=1-5x

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2 Answers

0 votes
by (210 points)
edited by

symbolically:

\( x+7=1-5x \)

\( x+5x=1-7 \)

\( 6x=-6 \)

\( x=\frac{-6}{6}=-1 \)

graphically:

we should draw \( y_1=x+7 \) and \( y_2=1-5x \) in a plot.

+1 vote
by (18.1k points)

x+7 = 1-5x

⇒ 5x+x = 1-7

⇒ 6x = -6

⇒ x = -6/6 = -1

Graphically :- The required solution is intersection point of lines y = x+7 and y = 1-5x

For drawing line y = x+7, we have

x 0 -1 -3
y 7 6 4

For drawing line y = 1-5x, we have

x 0 -1 1
y 1 6 -4

We observed that (-1, 6) is intersection point of lines.

Hence, solution of given equation is x = -1.

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