3x+4y=14
x=2y-12
which point satisfies both equations

The point that satisfies both equations are (-2, 5)

That is, x = -2 and y = 5

Step-by-step explanation: What we have here is a pair of simultaneous equations which are

3x + 4y = 14 (1)

x = 2y - 12 (2).

The point that satisfies both equations would be the value of x and y that would make both equations correct. In other words, calculate x and y.

From equation (2), x = 2y - 12.

Substitute for the value of x into equation (1)

3(2y - 12) + 4y = 14

6y - 36 + 4y = 14

We collect like terms and we now have

6y + 4y = 14 + 36

10y = 50

Divide both sides of the equation by 10

y = 5

Having calculated the value of y, substitute for the value of y into equation (2)

x = 2(5) - 12

x = 10 - 12

x = -2

Therefore, the point is where x = -2 and y = 5