Question

Can somebody please help me out... I really don’t get it and no one seems to help...

Answer 1

I got you, just follow my work

-2x+3=-5x+9

-2x=-5x+6

3x=6

x=2

Plug x back in

-2(2)+3= -1

y=-1

FINAL ANSWER: (2,-1)

Answer 2

So remember the transitive property here:

"If a = b and a = c, then b = c"

In this case, since y = -2x + 3 and y = -5x + 9, this means that -2x + 3 = -5x + 9. Substitute -5x + 9 into y of the first equation to solve for x:

$-2x + 3 = -5x + 9$

Firstly, add 5x to both sides of the equation: $3x + 3 = 9$

Next, subtract 3 on both sides: $3x=6$

Lastly, divide both sides by 3 and your first answer will be $x=2$

Next, since we have the value of x, substitute it into either equation to solve for y as such:

$y=-2(2)+3\\y=-4+3\\y=-1\\\\y=-5(2)+9\\y=-10+9\\y=-1$

Putting it all together, your answer is (2,-1).