2x+y=8 y=-x+5
use the substitute method to solve the system of equation

(3, 2 )

Step-by-step explanation:

Given the 2 equations

2x + y = 8 → (1)

y = - x + 5 → (2)

Substitute y = - x + 5 into (1)

2x - x + 5 = 8, that is

x + 5 = 8 ( subtract 5 from both sides )

x = 3

Substitute x = 3 into (2) for corresponding value of y

y = - 3 + 5 = 2

Solution is (3, 2 )

{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

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two