Question

What is the point of intersection of y= 4x+1 and y= -2x+4

Answer 1

Hi

y = 4x + 1
y = -2x + 4

We need to solve y = 4x + 1 for y
Let's start by substitute 4x + 1 for y in y = -2x + 4
y = -2x + 4
4x + 1 = -2x + 4
4x + 2x = 4 - 1
6x = 3
Divide both sides by 6
6x/6 = 3/6
x = 1/2

Now, let's find the value for y


substitute 1/2 for x in y = 4x + 1
everywhere we find x, we gonna replace it by 1/2
y = 4x + 1
y = 4(1/2) + 1
y = (4/2)+ 1
y = 2 + 1
y = 3

Answer : X = 1/2 and y = 3

I hope that's help !

Answer 2

set equal since both equal y
4x+1=y=-2x+4
4x+1=-2x+4
add 2x both sides

6x+1=4
minus 1 both sides

6x=3
divide by 6
x=1/2

sub back

y=4x+1
y=4(1/2)+1
y=2+1
y=3



(x,y)
(1/2,3)