Question

Find the value of x in the solution to the system of equations shown.

y= 12x + 7
y= -6x + 25

a. x = 1
b. x = 1.78
c. x = 3
d. x = 5.33

Answer 1

y= 12x + 7  

y= -6x + 25

set the two equations equal

12x+7 = -6x +25

add 6x to each side

18x + 7 = 25

subtract 7 from each side

18x = 18

divide  by 18

x=1

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Answer: x=1