Triangles ABC and DEC are congruent, solve for x and y.

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

entering that problem on the tube might get you an answer