Answer:
x=4, y=5
Step-by-step explanation:
System of Equations
Given triangles ABC and DEC are congruent, then:
3y + 1 = 4x
4y - 6 = 2x + 6
We need to solve the system of equations above.
Rearranging both equations:
-4x + 3y = -1 [1]
-2x + 4y = 12 [2]
Multiplying [2] by -2:
4x - 8y = -24 [3]
Adding [1] and [3]:
-5y = -25
Dividing by -5:
y = 5
Substituting in [1]:
-4x + 3(5) = -1
-4x + 15 = -1
Subtracting 15:
-4x = -16
Dividing by -4:
x = 4.
Solution: x=4, y=5
