Solve the simultaneous equation 3x + y = 8 x - 3y = 11

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:

x = 7 / 2, y = - 5 / 2

Step-by-step explanation:

3x + y = 8 ------> equation 1

3 ( 3x + y = 8 )

9x + 3y = 24 ------> equation 2

x - 3y = 11 ------> equation 3

Add equations 2 & 3,

9x + 3y = 24

x - 3y = 11

_________

10x + 0 = 35

10x = 35

x = 35 / 10

x = 3.5

Substitute x = 3.5 in equation 1,

3x + y = 8

3 ( 3.5 ) + y = 8

10.5 + y = 8

y = 8 - 10.5

y = - 2.5

x = 3.5

= 35 / 10

x = 7 / 2

y = - 2.5

= - 25 / 10

y = - 5 / 2

You might be interested in

What is the slope of the line through (-9, 6) and (-3, 9)? Choose 1 answer:

trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values