3x+2y=10 ------------------------------------(1)
y=2x-2.
Re-arrange the above
- 2x + y= -2 --------------------------------------(2)
We will solve by elimination;
We are going to eliminate y, to do that make the coefficient of y in the first and second equation the same.
This can be done by multiplying equation (1) by 1 and then multiply equation (2) by 2
That is;
3x + 2y = 10 ----------------------------------(3)
-4x + 2y = -4 --------------------------------------(4)
subtract equation (4) from equation (3)
7x= 14
divide both-side of the equation by 7
x=2
substitute x=2 into equation(2)
- 2x + y= -2
-2(2) + Y = -2
-4 + y = -2
add 4 to both-side of the equation
y = -2 + 4
y = 2
The solution is;
(2, 2)
