Let point for star be X
Let point for heart be Y
3x + 5y = 27------(1)
5x + 7y = 41------(2)
Multiplying the 1st equation by 5
15x + 25y = 135-------(3)
Multiplying the 2nd equation by 3
15x + 21y = 123----------(4)
Subtracting (4) from (3)
4 y = 12
y = 3
Substituting the value of y in (1)
3x + (5*3) = 27
3x + 15 = 27
3x = 12
x = 4
x + y = 4 + 3 = 7