Question

Choose the point which is a solution to the system of inequalities:

2x + y 7
5x – 2y 8

(3, 4)

(–6, 3)

(–2, –5)

(1, –1)

Answer 1

this is easier than the last one because there are no words

Answer 2

am i looking for x or y?

Answer 3

solve for \(y\) in the first equation

Answer 4

so should i just plug in each one and see which one works?

Answer 5

\[2x+y=7\] subtract \(2x\) from both sides and get
\[y=-2x+7\]

Answer 6

yes that would work, but we might as well solve

Answer 7

this is like the question you asked 2 questions ago
first solve for
(y\) in the first equation, get \(y = -2x+7\) then substitute \(-2x+7\) for \(y\) in the second equation and solve
\[2x-2(-2x+7)=8\]

Answer 8

y=-2x+7
where do we plug that in?

Answer 9

we plug that in for \(y\) in the second equation, using parentheses

Answer 10

\[5x-2y=8\] becomes
\[5x-2(-2x+7)=8\]

Answer 11

okay so 10 x^2-4x=8

Answer 12

i think i did that wron glol

Answer 13

first step is to multiply everything inside the parentheses by -2 i.e. remove parentheses using distributive property

Answer 14

then we will combine like terms and then we will start to solve

Answer 15

you want to try or you want me to write the first step?

Answer 16

solve for the INequalities; with 4 options, plug and play would be my bet

Answer 17

5x*-2x= -10x^2-4x=8

Answer 18

i see the confusion
the first term \(5x\) is not being multiplied by the rest

Answer 19

\[5x-2(-2x+7)=8\]
\[5x+4x-14=8\]

Answer 20

9x-14=8
+14 +14
9x=22
/9 /9
2.4 ? :(

Answer 21

ok before we go further, that is correct

Answer 22

so good work on that part
i just solved
\[2x + y=7\]\[ 5x – 2y=8 \]and got just what you did
so there must be a typo in your question
the answer is not one of the choices listed

Answer 23

maybe the question has a typo somewhere in it
look carefully and see if the question is correct

Answer 24

i know what it is. there was supposed to be a \[\ge \] between y and 7 and a \[\le \] between 2y and 8

Answer 25

\[2x + y\geq7\]\[5x-2u\leq 8\] do what @amistre64 said
check which ones work

Answer 26

yeah, unless you graph it; double checking the options is the simplest route i know if

Answer 27

and these things are terrible at graphing :/