Question

Solve the system and explain what the results mean according to your scenario.

2x + y = 9
3x + 4y = 26

Answer 1

2x + y = 9
3x + 4y = 26

2x + y = 9 (multiply by 3)
3x + 4y = 26 (multiply by 2) so we have the same value for x and we can cancel it out

6x + 3y = 27
6x + 8y = 52

5y = 25

y = 5

now use this to work out x

Answer 2

so just so you understand i will show you how to

2x + y = 9
3x + 4y = 26

so we know the value of y = 5

2x + 5 = 9

rearrange

2x = 9 - 5

2x = 4

x = 2

to check use these answers in the second equation

x = 2 y = 5

3(2) + 4(5) = 26

6 + 20 = 26

dont forget to click good answer :)

Answer 3

you can use elimination of substitution.
in this case it's easier to use substitution. subtract 2x from both sides of the first equation to get the y alone
y = 9 - 2x
now, you want to plug what y equals into the second equation
3x + 4 (9 - 2x) = 26
use the distributive property with the 4
3x + 36 - 8x =26
combine like terms
-5x + 36 = 26
subtract 36 from both sides
-5x = -10
now divide
x = 2
now, with x = 2
plug it into the original equation
3 * 2 + 4y = 26
solve like a regular algebra problem
6 + 4y = 26
4y = 20
y = 5

Answer 4

dang you beat me to it i really need to work on my typing speed

Answer 5

lol

Answer 6

in the first sentence i meant you can use elimination or substitution