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

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Answer 1 · 2016-05-07T07:44:15

x= 2, y=10

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

How do you solve the system of equations 5x -2y= -105x -2y= -10 and 3x + 6y = 663x + 6y = 66?