The solution to the simultaneous equations are: x = 153/13 and y = 18.846
How to solve simultaneous equations?
The system of equations are:
y = −²/₃x + 11 -----(eq 1)
y + 7 = ³/₂(x − 5) ------(eq 2)
Put −²/₃x + 11 for y in eq 2 to get:
−²/₃x + 11 + 7 = ³/₂(x − 5)
−²/₃x + 18 = ³/₂x - ¹⁵/₂
Multiply through by 6 to get:
-4x + 108 = 9x - 45
13x = 153
x = 153/13
y = −²/₃(153/13) + 11
y = 18.846