Question

Solve the system of equations:

y=−2/3x+11
y+7=3/2​(x−5)

a. x=8,y=7
b. x=7,y=5
c. x=10,y=5
d. x=5,y=8

Answer 1

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