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Find the solution of the system of equations.
8, x, plus, y, equals, 17
8x+y=
17
4, x, plus, 3, y, equals, 31
4x+3y=
31
Answer
Attempt 1 out of 2
left parenthesis(
,
right parenthesis) Submit Answer
Watch Video
Show Examples
Find the solution of the system of equations.
8, x, plus, y, equals, 17
8x+y=
17
4, x, plus, 3, y, equals, 31
4x+3y=
31
Answer
Attempt 1 out of 2
left parenthesis(
,
right parenthesis) Submit Answer
Answers
GPT 3.5
To find the solution of the system of equations, we can use the method of substitution or elimination.
First, let's solve the first equation:
8x + y = 17
y = 17 - 8x
Now, substitute this into the second equation:
4x + 3(17 - 8x) = 31
4x + 51 - 24x = 31
-20x + 51 = 31
-20x = -20
x = 1
Now that we have found x, we can substitute it back into the first equation to find y:
8(1) + y = 17
8 + y = 17
y = 9
Therefore, the solution to the system of equations is x = 1 and y = 9.
First, let's solve the first equation:
8x + y = 17
y = 17 - 8x
Now, substitute this into the second equation:
4x + 3(17 - 8x) = 31
4x + 51 - 24x = 31
-20x + 51 = 31
-20x = -20
x = 1
Now that we have found x, we can substitute it back into the first equation to find y:
8(1) + y = 17
8 + y = 17
y = 9
Therefore, the solution to the system of equations is x = 1 and y = 9.