How do you solve the simultaneous equations # 4x - 2y = 6 # and #3x + y = 17#?

2 Answers
May 15, 2018

Answer:

You can isolate one of the variables in one of your equations and plug it into the second. X equals 4.

Explanation:

Isolate one of the variables in one of the equations. Here, it's easier to isolate the y of the second equation.
#3x+y=17#
#y=17-3x#

Now, you can plug in what you got for y into the FIRST equation.
#4x-2y=6#
#4x - 2(17-3x)=6#

Develop your answer and move similar terms to each side.
#4x-34+6x=6#
#4x+6x=6+34#
#10x=40#

Solve for x.
#x=40/10#
#x=4#

May 15, 2018

Answer:

y = 5, while x = 5

Explanation:

Let

A: #4x-2y = 6#
B: #3x + y = 17#

Then rearrange B to get it in terms of y, since it already has y on it's own.

Thus gives us B: #y = 17 - 3x#

Then substitute this value of y into equation A:

thus we get #4x - 34 + 6x = 6#

if we rearrange this, we get #x = 4#

If we put this into the rearrange form of B: we get #y = 5#