Question

12x-3y=-3 6x+y=1Solving systems​ of equations

Answer 1

$12x - 3y = - 3 \\ 6x + y = 1$

Solve the second equation for y

$12x - 3y = - 3 \\ y = 1 - 6x$

Substitute the given value of y into the first equation

$12x - 3(1 - 6x) = - 3$

Distribute -3 through the parentheses

$12x - 3 + 18x = - 3$

Cancel equal terms on both sides of the equation

$12x + 18x = 0$

Collect like terms then divide both sides of equation by 30

$x = 0$

Substitute the given value of x into the equation y=1-6x

$y = 1 - 6 \times 0$

Solve for y

$y = 1$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = (0,1)$

Answer 2

The answer and the process is shown in the following picture