How could you check to see if the point (5, 6) is the solution to the Linear System of equations?(1 point) Responses Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true
The correct response is:
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 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 a linear system of equations, you need to substitute the values of x and y into each equation and check if both equations are true.
Here are the steps to follow:
1. Take the first equation of the linear system and substitute x = 5 and y = 6 into the equation.
For example, if the first equation is 2x + 3y = 10, substitute x = 5 and y = 6:
2(5) + 3(6) = 10
Solve the equation: 10 + 18 = 10
If the equation is true (equal to 10 in this case), move on to the next step.
2. Take the second equation of the linear system and substitute x = 5 and y = 6 into the equation.
For example, if the second equation is 3x - 4y = 7, substitute x = 5 and y = 6:
3(5) - 4(6) = 7
Solve the equation: 15 - 24 = 7
If the equation is true (equal to 7 in this case), then the point (5, 6) is a solution to the linear system.
Repeat this process for each equation in the linear system, substituting the values of x and y and checking if both equations are true. If all the equations are true, the point (5, 6) is indeed a solution to the linear system.