Solve the system using elimination 2x+3y=9 x+5y=8 what is the solution?

(x, y) = (3, 1)

Step-by-step explanation:

given the 2 equations

2x + 3y = 9 → (1)

x + 5y = 8 → (2)

multiplying (2) by - 2 then adding to (1) will eliminate the term in x

multiply (2) by - 2

- 2x - 10y = - 16 → (3)

add 1(1) and (3) term by term

(2x - 2x) + (3y - 10y) = (9 - 16)

- 7y = - 7 ( divide both sides by - 7 )

y = 1

Substitute y = 1 in either (1) or (2) and solve for x

(1) : 2x + 3 = 9 ( subtract 3 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Solution is (3, 1 )

s + (a + 178) = 2000

step-by-step explanation:

2000 - 178 = 1822

1822 / 2 = 911

911 + 178 = 1089

1089 + 911 = 2000

abha = 1089

shane = 911

{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