Question

I’m supposed to be finding where the two lines intersect (x,y)Y= -5x+13 & Y= -x+7

Answer 1

We can find where the two lines intercept by finding the solution of the system of equations given

y=-5x+13

y=-x+7

Because the equations are equalities of y we can do the next equality

$-5x+13=-x+7$

we simplify

$-5x+x=7-13$$-4x=-6$

Then we isolate the x

$x=\frac{-6}{-4}=\frac{6}{4}=\frac{3}{2}$

And then we use the first equation in order to find y we substitute the value of x

$y=-5(\frac{3}{2})+13=\frac{11}{2}$

Therefore the point where the two lines intersect is (3/2,11/2)