Question

Which of the following ordered pairs represents the solution to the system given below?

x − 4y = 7
5x + 9y = 6

A) 3,-1
B) 3,1
C) 1,-3
D) -1, -3

Answer 1

@Mehek14

Answer 2

you can put the coordinates into the equation to check them or you can solve for one variable and then use that to get the other

Answer 3

add 4y to the first equation on both sides to get x by itself then you have x = 4y + 7

Answer 4

if you graph it, the solution would be where they intersect

Answer 5

Thanks

Answer 6

then put that into the equation for x

5(4y + 7)+9y = 6 distribute
20y + 35 + 9y = 6 combine like terms
29y + 35 = 6
- 35 -35
29y = -29 divide by 29 to get y alone
/29 /29
y = -1

Answer 7

then in x = 4y + 7 put in -1 for y

x = 4(-1) + 7
x = -4 + 7
x = 3

Answer 8

the solution is (3, -1)

Answer 9

thanks @Ashes.boom

Answer 10

yea your welcome :)