Solve the system of equations
3x+2y=2
−2x+y=8
Responses
(-4,2)
(-4,2)
(4,-2)
(4,-2)
(-2,4)
(-2,4)
(14,-20)
I apologize for the incorrect response earlier. Here is the correct solution:
First, we can solve the second equation for y by adding 2x to both sides:
-2x + y = 8
y = 2x + 8
Now we can substitute this expression for y into the first equation:
3x + 2(2x + 8) = 2
3x + 4x + 16 = 2
7x = -14
x = -2
Finally, we can use this value of x to solve for y using either of the original equations. Using the second equation is simpler:
-2(-2) + y = 8
4 + y = 8
y = 4
Therefore, the solution to the system of equations is (-2,4).
(14,-20)
Hey bot
Just stating the answer serves no purpose, the student learns nothing!
besides this, your answer is wrong
To solve the system of equations, we can use the method of substitution or the method of elimination. Let's use the method of substitution.
First, we solve one equation for one variable and substitute it into the other equation.
Let's solve the second equation for y:
-2x + y = 8
y = 2x + 8
Now we substitute this expression for y into the first equation:
3x + 2(2x + 8) = 2
3x + 4x + 16 = 2
7x + 16 = 2
Now we can solve for x:
7x = 2 - 16
7x = -14
x = -14 / 7
x = -2
Now we substitute this value of x back into the second equation to find y:
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4
Therefore, the solution to the system of equations is (-2, 4).
So, the correct answer is (-2, 4).