is (-2,4) a solution to the system of equations?
3x+2y=2
−2x+y=8
To determine if (-2,4) is a solution to the system of equations, we substitute the values into each equation and check if they are true.
For the first equation:
3x + 2y = 2
3(-2) + 2(4) = 2
-6 + 8 = 2
2 = 2
The result is true for the first equation.
For the second equation:
-2x + y = 8
-2(-2) + 4 = 8
4 + 4 = 8
8 = 8
The result is true for the second equation.
Since (-2,4) satisfies both equations, it is indeed a solution to the system of equations.
To determine if (-2, 4) is a solution to the system of equations, we need to substitute the values x = -2 and y = 4 into both equations and see if the equations hold true.
1) First equation: 3x + 2y = 2
Substituting x = -2 and y = 4:
3(-2) + 2(4) = 2
-6 + 8 = 2
2 = 2
2) Second equation: -2x + y = 8
Substituting x = -2 and y = 4:
-2(-2) + 4 = 8
4 + 4 = 8
8 = 8
In both cases, the left side of the equation equals the right side. Therefore, the point (-2, 4) is indeed a solution to the system of equations.
To determine if (-2, 4) is a solution to the system of equations, substitute the values of x and y into each equation and check if they satisfy both equations.
Equation 1: 3x + 2y = 2
Substituting x = -2 and y = 4:
3(-2) + 2(4) = -6 + 8 = 2
Equation 2: -2x + y = 8
Substituting x = -2 and y = 4:
-2(-2) + 4 = 4 + 4 = 8
Since substituting (-2, 4) into both equations results in true statements, (-2, 4) is indeed a solution to the system of equations.