Question
3x-y=6 and -4x+2y=-8 substation
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve this system of equations by substitution, we can solve one of the equations for one variable and then substitute that expression into the other equation.
Given equations:
1) 3x - y = 6
2) -4x + 2y = -8
First, we can solve equation 1 for y:
3x - y = 6
y = 3x - 6
Next, we substitute this expression for y into equation 2:
-4x + 2(3x - 6) = -8
-4x + 6x - 12 = -8
2x - 12 = -8
2x = -8 + 12
2x = 4
x = 4/2
x = 2
Now, we substitute the value of x back into the equation we solved for y:
y = 3(2) - 6
y = 6 - 6
y = 0
Therefore, the solution to the system of equations is x = 2 and y = 0.
Given equations:
1) 3x - y = 6
2) -4x + 2y = -8
First, we can solve equation 1 for y:
3x - y = 6
y = 3x - 6
Next, we substitute this expression for y into equation 2:
-4x + 2(3x - 6) = -8
-4x + 6x - 12 = -8
2x - 12 = -8
2x = -8 + 12
2x = 4
x = 4/2
x = 2
Now, we substitute the value of x back into the equation we solved for y:
y = 3(2) - 6
y = 6 - 6
y = 0
Therefore, the solution to the system of equations is x = 2 and y = 0.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.