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Lyrx [107]
3 years ago
15

Solving systems by substitution: Y=4x-17 4x+6y=10

Mathematics
2 answers:
sergey [27]3 years ago
5 0
It's not a multiple choice answer is it?
Ksivusya [100]3 years ago
4 0

Answer:

{x = 4, y = -1


Step-by-step explanation:

Solve the following system: by substitution:

{y = 4 x - 17


{4 x + 6 y = 10



Hint: | Perform a substitution.


Substitute y = 4 x - 17 into the second equation:


{y = 4 x - 17


{4 x + 6 (4 x - 17) = 10



Hint: | Expand the left hand side of the equation 4 x + 6 (4 x - 17) = 10.


4 x + 6 (4 x - 17) = (24 x - 102) + 4 x = 28 x - 102:


{y = 4 x - 17


{28 x - 102 = 10



Hint: | Choose an equation and a variable to solve for.


In the second equation, look to solve for x:


{y = 4 x - 17


{28 x - 102 = 10



Hint: | Isolate terms with x to the left hand side.


Add 102 to both sides:


{y = 4 x - 17


{28 x = 112



Hint: | Solve for x.


Divide both sides by 28:


{y = 4 x - 17


{x = 4



Hint: | Perform a back substitution.


Substitute x = 4 into the first equation:


{y = -1


{x = 4



Hint: | Sort results.


Collect results in alphabetical order:


Answer: {x = 4

, y = -1


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