Answer:
The answer is (1.5, 10)
Step-by-step explanation:
We can solve this system by apllying substitution in the following way:
(1) 2x-y=-7
(2) 4x-y =-4
1. Simplify one of your variables in terms of the other in any of the two equations
Here its easy to simplify y in equation (1)
2x-y=-7
2x=-7+y
2x+7 = y
y=2x+7 (3)
2. We replace the simplified equation into the other equation of the system for the simplified variable, in this case y
(3) in (2)
4x-(2x+7) =-4
4x -2x-7 = -4
2x = 7-4
2x = 3
x = 3/2 = 1.5 (4)
3. Repplace the value obtained in the explicit equation of the other variable in this case equation (3)
(4) in (3)
y = 2(1.5)+7 = 3+7 = 10
The system has solution (x,y)=(1.5,10)
