Question

How do you solve the system of equations #x+y=3# and #3x+2y=14# by graphing?

How do you solve the system of equations #x+y=3# and #3x+2y=14# by graphing?
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Answer #1

See explanation

Explanation:

These are equations of strait lines.

You need to plot #y# against the functions of #x#
So you need to change then into the format of #y=mx+c#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider: #" "x+y=3#

Subtract #x# from both sides

#y=-x+3#
.................................................................
Consider #" "3x+2y=14#

Subtract #3x# from both sides

#2y=-3x+14#

divide both sides by 2

#y=-3/2 x+7#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute at least 2 values into #x# in each equation to determine related values of #y#.

Plot the two lines and read of the #x and y# values where they cross.

Tony B

answered by: Tony B
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