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Solve the given system of equations.
2x+8y=5
24x-4y=-15
The solution to the system is (__,__).

Respuesta :

Answer:

X=-1/2

Y=3/4

Step-by-step explanation:

The solution of the system is (1/2 , 3/4)

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Here, given equations

2x + 8y = 5 .......................(i)

24x - 4y = -15  ...................(ii)

on multiply 2 in equation (ii), we get

2x + 8y = 5  ...........(i)

48x - 8y = -30 .............(iii)

Adding equation (i) and (iii), we get

50x = -25

x = -25/50

x = -1/2

Put the value of x in equation (i), we get

2X(-1/2) + 8y = 5

-1 + 8y = 5

8y = 6

y = 6/8

y = 3/4

Thus, the solution of the system is (1/2 , 3/4).

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