Question

How do you solve the system of equations `5x -2y= -10` and `3x + 6y = 66`?

Answer 1

x= 2, y=10

Explanation:

Equate both expressions for y in terms of x,

that is :
For 5x -2y = -10,

5x -2y = -10
-2y = -10 -5x
-y = -5 - `(5/2)x`
y = 5 + `(5/2)x`

For 3x + 6 y = 66,
y = 11 - `(1/2)x`

Hence to solve the simultaneous equations,
equate both the expression for y,

5 + `(5/2)x` = 11 - `(1/2)x`
Solve for x, x = 2
then solve for y, y =10