To determine if the point (2,5) is a solution to a system of equations, we can substitute the x and y values into each equation and see if they are true.
Let's try each system of equations:
A. y=x-8, 2x+y=7
Substituting x=2 and y=5 into the first equation:
5=2-8
This is not true, so (2,5) is not a solution to the first equation.
Substituting x=2 and y=5 into the second equation:
2(2)+5=7
This is true, so (2,5) is a solution to the second equation.
B. y=-1/2x+6, y=3x-1
Substituting x=2 and y=5 into the first equation:
5=-1/2(2)+6
This is true, so (2,5) is a solution to the first equation.
Substituting x=2 and y=5 into the second equation:
5=3(2)-1
This is not true, so (2,5) is not a solution to the second equation.
C. y=x+2, y=x+5
Substituting x=2 and y=5 into the first equation:
5=2+2
This is not true, so (2,5) is not a solution to the first equation.
Substituting x=2 and y=5 into the second equation:
5=2+5
This is true, so (2,5) is a solution to the second equation.
D. y=2/3x+6, 3y+6x-18=0
Substituting x=2 and y=5 into the first equation:
5=2/3(2)+6
This is not true, so (2,5) is not a solution to the first equation.
Substituting x=2 and y=5 into the second equation:
3(5)+6(2)-18=0
15+12-18=0
This is true, so (2,5) is a solution to the second equation.
The point (2,5) is a solution to systems B and D of equations.
The point (2,5) is a solution to which system of equations?
A. y=x-8, 2x+y=7
B. y=-1/2x+6, y=3x-1
C. y=x+2, y=x+5
D. y=2/3x+6, 3y+6x-18=0
1 answer