Solve the system using substitution.

3x + 2y = 23

1/2x - 4 = y

Question

Solve the system using substitution.

3x + 2y = 23

1/2x - 4 = y

anonymous · Answer

replace $y$ in the first equation by $\frac{1}{2}x-4$ ( because that is what it is) and solve $$3x+2\left(\frac{1}{2}x-4\right)=23$$ for $x$

mathmale · Answer

This is solution by substitution.  substitution has eliminated the variable y, making it that much easier to solve for x.

anonymous · Answer

$$3x+2\left(\frac{1}{2}x-4\right)=23$$$$3x+x-8=23$$ is a start

triciaal · Answer

@KaaayKillaaah  please review your response.  What are you thinking?

triciaal · Answer

@trentren follow what satelite73 has

anonymous · Answer

Okay I got 4x = 31 @satellite73

anonymous · Answer

looks right to me

anonymous · Answer

Its not an answer choice though.

anonymous · Answer

that is not an answer, that is a step along the way

anonymous · Answer

if $$4x=31$$what is $x$?

anonymous · Answer

x = 7.75

kaaaykillaaah · Answer

@triciaal  .. I know what I am doing @satellite73 did the same thing

anonymous · Answer

ok 
now find $y$
if the answer choices have all whole numbers, then perhaps there is a typo in the question
if one of the answer choices has $x=7.75$ then we are in good shape

anonymous · Answer

These are the answer choices 

a. ( 9, -2 )

b. ( 27/4, -5/8 )

c. ( 31/4, -1/8 )

d. ( 3/2, -13/4 )

anonymous · Answer

16?

triciaal · Answer

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