Answers: 2
answered: Guest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
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