Question

5x + 2y = 7
y = x + 1
What is the solution set of the given system?
{(5/7, 12/7)}
{(12/7, 5/7)}
{(9/7, 16/7)}
{(16/7, 9/7)}

Answer 1

5x + 2y = 7

5x + 2(x+1) = 7 ... plug in y = x+1

5x + 2x+2 = 7

I'll let you finish up

Once you solve for x, use this to find y

Answer 2

how?

Answer 3

5x + 2x+2 = 7

5x + 2x = 7 - 2

7x = 5

x = ???

Answer 4

The idea is to isolate x, so you have to add/subtract/multiply/divide both sides by numbers to get the numbers that aren't x to the other side

Answer 5

0.71?

Answer 6

keep it as a fraction

Answer 7

how did you get 0.71

Answer 8

5 divided by 7

Answer 9

that doesn't reduce, so keep it like that

Answer 10

so x = 5/7

Answer 11

you can keep going or you can notice that only one answer choice has 5/7 as an x coordinate

Answer 12

and then 12/7?

Answer 13

if you keep going, then

y = x+1

y = 5/7 + 1

y = 5/7 + 7/7

y = (5+7)/7

y = 12/7