please help ASAPand show the stepsUse the substitution method to solve this system of equations:x+3y=84x-y=6
Question
Answer:
Using substitution:In the first equation, look to solve for x {x + 3 y = 8
{4 x - y = 6
Subtract 3 y from both sides:
{x = 8 - 3 y
{4 x - y = 6
Substitute x = 8 - 3 y into the second equation:
{x = 8 - 3 y
{4 (8 - 3 y) - y = 6
4 (8 - 3 y) - y = (32 - 12 y) - y = 32 - 13 y:
{x = 8 - 3 y
{32 - 13 y = 6
In the second equation, look to solve for y:
{x = 8 - 3 y
{32 - 13 y = 6
Subtract 32 from both sides:
{x = 8 - 3 y
{-13 y = -26
Divide both sides by -13:
{x = 8 - 3 y
{y = 2
Substitute y = 2 into the first equation:
Answer: {x = 2
{y = 2
solved
general
11 months ago
5865