The solution (5, -3) means that when x = 5, y = -3 satisfies the system of equations. To check which system of equations this point is a solution to, we can substitute x = 5 and y = -3 into each equation and see if the equation is true:
1. y = x - 8: -3 = 5 - 8, this equation is true with (5, -3)
2. 2x + y = 7: 2(5) + (-3) = 7, this equation is true with (5, -3)
3. y = x + 2: -3 = 5 + 2, this equation is not true with (5, -3)
4. y = x + 5: -3 = 5 + 5, this equation is not true with (5, -3)
5. y = x + 2 and y = x + 5: -3 = 5 + 2 and -3 = 5 + 5, neither equation is true with (5, -3)
6. y - 12x + 6: -3 - 12(5) + 6 = -69, this equation is not true with (5, -3)
7. y = 3x - 1: -3 = 3(5) - 1, this equation is not true with (5, -3)
8. y = -12x + 6: -3 = -12(5) + 6, this equation is true with (5, -3)
9. y = 23x + 6: -3 = 23(5) + 6, this equation is not true with (5, -3)
10. 3y + 6x - 18 = 0: 3(-3) + 6(5) - 18 = 0, this equation is true with (5, -3)
Therefore, the point (5, -3) is a solution to systems of equations 1, 2, 8, and 10.
The point (5, −3)
is a solution to which system of equations?
y=x−8
2x+y=7
y = x + 2
y = x + 5
y = x + 2 y = x + 5
y −12x + 6
y = 3x − 1
y = −12x + 6
y = 3x − 1
y = 23x + 6
3y + 6x − 18 = 0
1 answer