Question

Where will these 2 lines intersect? y = 2x + 7 and x = y + 4

Answer 1

To find the intersecting point, you have to put the two formulas equal to each other

First isolate the same variable, in this case y

So y=x-4

Now we can say

2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7

Y= 13

So they’ll intersect at (3,13)

Answer 2

To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4

Now we can say
2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7
Y= 13

So they’ll intersect at (3,13)