Answer:
x = 5.7 and y = 3.8
Explanation:
We have given a system of equation.
5x+2y = 21 eq(1)
-2x+6y = -34 eq(2)
We have to find the solution of the given system.
Multiplying eq(1) by 3 , we have
15x+6y = 63
Subtracting above equation from eq(2), we have
15x+6y - (-2x+6y) = 63-(-34)
15x+6y+2x-6y = 63+34
17x+0 = 97
17x = 97
x = 97/17
x = 5.706≅5.7
Putting the value of x in eq(1) , we have
5(5.706)+2y = 21
2y = 21-28.53
2y = 7.53
y = 7.53/2
y = 3.765
We have to round it to the nearest tenth
y = 3.8
Hence, the solution of given system is x = 5.7 and y = 3.8