What is the solution to the following system of equations?y = 7x + 14y = (1/3)x – 3
( -2.55, -3.85 )
To find the solution to this system of equations, we need to see where the two equations intersect. We can do this by setting the equations equal to each other:
7x + 14 = (1/3)x – 3
We can simplify this equation by getting all the x terms on one side and all the constant terms on the other side:
7x – (1/3)x = -17
Multiplying both sides by 3 to get rid of the fraction, we have:
21x – x = -51
Simplifying this equation, we get:
20x = -51
Dividing both sides by 20, we get the solution for x:
x = -51/20
Now that we know x, we can find y by plugging this value back into one of the original equations. Let’s use the first equation:
y = 7x + 14
Substituting x = -51/20, we get:
y = 7(-51/20) + 14
Simplifying this equation, we get:
y = -153/20
Therefore, the solution to the system of equations is (-51/20, -153/20).
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