Find the solution for the system of linear equations by elimination: 2x+y=9,3x-y=16

(-5,-1)

Step-by-step explanation:

2x+y=9 -> y=-2x+9

3x-y=16

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

3x+2x-9=16

5x-9=16

5x-9 (+9)=16 (+9)

5x=25

x=5

no plug in 5 to x in any equation above

2(5)+y=9

10+y (-10)=9 (-10)

y=-1

so the answer is (-5,-1)

hope it's correct! and hope i helped

{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

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

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