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Use the substitution method to solve the system of equations 8x+5y=9 y=x+7

A.(0,7)
B.(-2,5)
C.(-4,3)
D.(2,9)

User LBarret
by
6.4k points

2 Answers

2 votes

Answer-2,5 Apex :

Explanation:

User BingsF
by
6.7k points
7 votes

The second equation gives an expression for y that can be used directly in the first equation.

... 8x + 5(x+7) = 9 . . . . . substitute for y

... 13x + 35 = 9 . . . . . . . simplify

... 13x = -26 . . . . . . . . . . add -35

... x = -2 . . . . . . . . . . . . . divide by the coefficient of x

... y = -2 + 7 = 5

The solution is ...

... B. (-2, 5)

User Drobert
by
7.0k points
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