Question

Will give medal to the most helpful!!!!!
Solve the system of equations.
2x+3y=1
y=3x+15

Answer 1

I would use substitution so, 2x + 3(3x + 15) = 1

Answer 2

you plug in what y equals for y in the other equation and solve for x, then plug that in and it will give you y

Answer 3

arrange the equations by putting it equal to zero
cencel out x or y to get the value of other then
put that value in any eq to get the remaining value

Answer 4

I can spell it out step by step if you want mad

Answer 5

ok......I know the answer should be an ordered pair because the solution to the equations is where the two lines meet

Answer 6

so 1 would be the y value?

Answer 7

2x + 3y = 1
y = 3x + 15
so we take the first equation and replace y with what we know it is equal to from 2nd eq -
2x + 3(3x + 15) = 1
we solve for x -
x = -4
we plug that into an original eq for example the second one-
y = 3(-4) + 15
so,
y = 3
our ordered pair is (-4,3)

Answer 8

ohhhhhh ok

Answer 9

we can check by plugging these into an equation
y = 3x + 15
3 = 3(-4) + 15
3=3 True!

2x + 3y = 1
2(-4) + 3(3) = 1
1=1 True!
So our ordered pair is correct

Answer 10

thank you both SO much!

Answer 11

no worries I hope that makes sense that is the substitution method you can also use elimination