Line a: y = 2x + 3 Line b: y = -x Where will these two lines intersect?
1 answer:
There are different ways to solve this:
Substitution:
in the equation: y = 2x + 3 every time you see a y insert -x in its place. This will solve for the x of the intersect
-x = 2x + 3
(-x-2x) = (2x - 2x) + 3
x = - 1
to solve for y incert x which is -1 into the equation y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
(-1,1)
Hope this helped! Let me know if you want the other methods of solving this explained as well!
You might be interested in
Answer:
x = 2
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
→ Expand the brackets
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
⇒ Substitute in the values
⇒ Simplify
⇒ Simplify further
0 = 0
The solution x = 2 is correct
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡