Answer:
x=8 y=11
Explanation:
We can solve this using vertical angles. Vertical angles are a type of proof that two angles are congruent. By this, we can see that 3x-14 = x+2 since they're vertical angles. And that 4y-7=y+11 because they're also vertical angles.
Let's solve the given equations step by step:
Equation 1: 3x - 14 = x + 2
To solve for x, we can start by moving the x term to one side of the equation and the constant terms to the other side:
3x - x = 2 + 14
Simplifying the equation:
2x = 16
Next, we isolate x by dividing both sides of the equation by 2:
2x/2 = 16/2
x = 8
So the solution for Equation 1 is x = 8.
Equation 2: 4y - 7 = y + 11
To solve for y, we'll follow a similar process:
4y - y = 11 + 7
Simplifying the equation:
3y = 18
Dividing both sides of the equation by 3:
3y/3 = 18/3
y = 6
Therefore, the solution for Equation 2 is y = 6.
So the solution to the system of equations is x = 8 and y = 6.