Just learned equations and want to know if i am doing write..
4y= 2x-2
2y=2x6
ans (-7,-4)
x+2y=7
3x-2y= -11
To check if you have solved the equations correctly, you can substitute the solution values back into the original equations and see if they hold true. Let's analyze each equation.
Equation 1: 4y = 2x - 2
You provided the solution as (-7, -4). Substituting these values into the equation:
4(-4) = 2(-7) - 2
-16 = -14 - 2
-16 = -16
The left side of the equation is equal to the right side, confirming that (-7, -4) is a valid solution for the equation.
Equation 2: 2y = 2x + 6
Again, substituting (-7, -4) into the equation:
2(-4) = 2(-7) + 6
-8 = -14 + 6
-8 = -8
Once again, the left side of the equation is equal to the right side, which means that (-7, -4) is a valid solution for this equation as well.
Moving on to the second set of equations:
Equation 3: x + 2y = 7
Substituting the values (-7, -4) into the equation:
-7 + 2(-4) = 7
-7 - 8 = 7
-15 = 7
Here, the left side of the equation does not equal the right side, which means that (-7, -4) is not a valid solution for this equation. Therefore, there might be an error in your calculation or the solution provided is incorrect.
Equation 4: 3x - 2y = -11
Let's substitute (-7, -4) into this equation:
3(-7) - 2(-4) = -11
-21 + 8 = -11
-13 = -11
Again, the left side of the equation is not equal to the right side, suggesting that (-7, -4) is not a valid solution for this equation either.
In conclusion, the solution (-7, -4) you provided is correct for the first two equations, but it is not a valid solution for the second set of equations. Double-check your calculations for the second set of equations to find the correct solution.