What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (negative 2.5, negative 2).
(0, 3)
(0, negative 2)
(negative 2, negative 2 and one-half)
(Negative 2 and one-half, negative 2)
There is not enough information provided to determine the solution to the system of linear equations graphed below. We would need to know the equations of the two lines in order to find their intersection point.
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)
(0, 3)
There is not enough information provided to determine the solution to the system of linear equations graphed below. We would need to know the equations of the two lines in order to find their intersection point.
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (negative 2.5, negative 2).
(0, 3)
(0, negative 2)
(negative 2, negative 2 and one-half)
(Negative 2 and one-half, negative 2)
The solution to this system of linear equations is (-2.5, -2), the point of intersection of the two lines.
Which system of linear equations has the ordered pair (4, –5) as a solution?
2 x minus 5 y = negative 30 and 7 x + 4 y = negative 19
6 x minus y = negative 29 and 8 x + 3 y = negative 17
3 x minus 2 y = 22 and 2 x + 9 y = negative 37
5 x minus 6 y = 49 and x + 8 y = negative 27
We can check each system of linear equations by substituting x = 4 and y = -5 and verifying if the equation holds true or not.
Checking the first system:
2 x - 5 y = -30 -> 2(4) - 5(-5) = 8 + 25 = 33 which is not equal to -30
7 x + 4 y = -19 -> 7(4) + 4(-5) = 28 - 20 = 8 which is not equal to -19
Checking the second system:
6 x - y = -29 -> 6(4) - (-5) = 24 + 5 = 29 which is equal to -29 (not the answer yet)
8 x + 3 y = -17 -> 8(4) + 3(-5) = 32 - 15 = 17 which is not equal to -17
Checking the third system:
3 x - 2 y = 22 -> 3(4) - 2(-5) = 12 + 10 = 22 which is equal to 22 (not the answer yet)
2 x + 9 y = -37 -> 2(4) + 9(-5) = 8 - 45 = -37 which is equal to -37
Checking the fourth system:
5 x - 6 y = 49 -> 5(4) - 6(-5) = 20 + 30 = 50 which is not equal to 49
x + 8 y = -27 -> 4 + 8(-5) = 4 - 40 = -36 which is not equal to -27
Therefore, the only system of linear equations that has the ordered pair (4, -5) as a solution is:
3 x - 2 y = 22 and 2 x + 9 y = -37.