Answer:
c
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
3x - y = 1 → (2)
Adding the 2 equations term by term will eliminate the term in y
4x = 4 ( divide both sides by 4)
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
1 + y = 3 ( subtract 1 from both sides )
y = 2
Solution is (1, 2 ) → c
-4x - 5y = 7
3x + 5y = -14
You can add these two equations together straightaway since the y-terms have opposite coefficients.
-4x - 5y = 7
3x + 5y = -14
+___________
-x - 0 = -7
-x = -7
x = 7
Substitute 7 for x into either of the original equations and solve algebraically to find y.
3x + 5y = -14
3(7) + 5y = -14
21 + 5y = -14
21 = -14 - 5y
35 = -5y
-7 = y
Finally, check work by substituting both x- and y-values into both original equations.
-4x - 5y = 7
-4(7) - 5(-7) = 7
-28 + 35 = 7
7 = 7
3x + 5y = -14
3(7) + 5(-7) = -14
21 - 35 = -14
-14 = -14
Answer:
x = 7 and y = -7; (7, -7).
The figure has reflective symmetry about a line if that line divides the figure in two similar parts, which are reflections of one another.
Notice that the two figures formed when the shape is divided by line k are not similar, since one has 7 vertices and the other just 4.
Notice that the two figures formed when the shape is divided by line m are not similar, since one has 7 vertices and the other just 4.
The line l divides the figure in two shape, one is a trapezoid and the other isn't.
Only line n divides the figure in two similar shapes.
Therefore, the correct choice is B) n only.