How could you check to see if the point (5, 6) is the solution to the Linear System of equations?(1 point)%0D%0AResponses%0D%0A%0D%0ASubstitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.%0D%0ASubstitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.%0D%0A%0D%0ASubstitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.%0D%0ASubstitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.%0D%0A%0D%0ASubstitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.%0D%0ASubstitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.%0D%0A%0D%0ASubstitute 5 in for x and 6 in for y in one of the equations to see if the equation is true.
To check if the point (5, 6) is the solution to the linear system of equations, you would substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.
To check if the point (5, 6) is a solution to the linear system of equations, you need to substitute the values of x and y from the point into both equations and see if both equations are true.
Here are the steps to do that:
1. Take the first equation of the system and substitute 5 for x and 6 for y. Calculate the left-hand side of the equation and see if it is equal to the right-hand side. If they are equal, then the point (5, 6) satisfies the first equation. If not, then the point does not satisfy the first equation.
2. Repeat the same process for the second equation of the system. Substitute 5 for x and 6 for y, calculate the left-hand side, and compare it to the right-hand side. If they are equal, then the point (5, 6) satisfies the second equation. Otherwise, it does not satisfy the second equation.
3. If both equations are true when the point (5, 6) is substituted, then the point is a valid solution to the linear system. If either of the equations is false, then the point is not a solution to the system of equations.
By following these steps, you can determine whether the point (5, 6) is a solution to the linear system of equations.
To check if the point (5, 6) is a solution to the linear system of equations, you need to substitute the values of x and y into both equations and see if both equations are true.
1. Substitute 5 in for x and 6 in for y in the first equation:
Equation 1: x + 2y = 10
Substitute: 5 + 2(6) = 10
Simplify: 5 + 12 = 10
This equation is not true, as 17 is not equal to 10.
2. Substitute 5 in for x and 6 in for y in the second equation:
Equation 2: 3x - y = 9
Substitute: 3(5) - 6 = 9
Simplify: 15 - 6 = 9
This equation is true, as 9 is equal to 9.
Since the point (5, 6) does not satisfy both equations, it is not a solution to the linear system of equations.