Answer: 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
