Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
Step-by-step explanation:
Given the point
Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
Arrange equation variable for elimination
so
so the system of equations becomes
Solve 7x = -14 for x
Divide both sides by 7
Simplify
For y - 4x = 9 plug in x = 2
Subtract 8 from both sides
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
