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4 votes
Y =  7x + 43

y =  2x  + 13

a.

( -6,  1)

c.

( 6,  1)

b.

( 6,  -1)

d.

No solution

User Alex Aza
by
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1 Answer

2 votes
Hi there! The answer is A. (-6, 1)


y = 7x + 43 \\ y = 2x + 13 \\ \\ we \: get \: the \: following \\ 7x + 43 = 2x + 13

Subtract 2x from both sides.

5x + 43 = 13

Subtract 43 from both sides.

5x = - 30

Divide both sides by 5.

x = - 30 / 5 = - 6

Fill in the value of x we just found.

y = 7 * - 6 + 43 = - 42 + 43 = 1 \\ y = 2 * - 6 + 13 = - 12 + 13 = 1

Hence, the answer is A. (-6, 1)
User Yakunins
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8.0k points