How do you solve the system of equations #2x + 6y = 14# and #4x = 16#?

1 Answer
Y
May 12, 2017

Reduce each equation then substitute the second equation into the first equation. Answer: #(4,1)#

Explanation:

Original equation: Given #2x+6y=14# and #4x=16#, solve for #(x,y)#

We can solve this system of equations by using substitution. First, we can divide the first equation by #2# and the second equation by #4#:
#x+3y=7#
#x=4#

Now, we simply substitute the second equation, #x=4#, into the first equation:
#4+3y=7#
We can subtract #4# from both sides to isolate the #3y#:
#4+3y-4=7-4#
#3y=3#
Now, we divide both sides by #3# to solve for #y#:
#y=1#

Therefore, our solution is the coordinate point #(4,1)#

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