Respuesta :
The solution to the system of equation is (4.75, -11)
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
How to solve system of equation?
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
add equation(i) to equation(ii)
Therefore,
1.6x = 7.6
divide both sides by 1.6
x = 7.6 / 1.6
x = 4.75
Therefore,
3.2(4.75) + 0.5y = 4.2
0.5y = 4.2 - 15.2
0.5y = -11
y = - 11 / 0.5
y = - 22
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Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
