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madreJ [45]
3 years ago
12

What is the solution (x,y) to the system of equations below x + 9y = 3 y= 1/3 x + 7

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Let's solve this by substitution.


y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.


clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3


Combine like terms: 12x = -60. Then x = -5


Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7

= -5/3 + 35/3 = 30/3 = 10.


Thus, the solution (x,y) of this system is (-5,10).


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