Question

Fidn the points of intersection

Answer 1

EQ. 1: x + y = 8

EQ. 2: 4x-y = 7

Rewrite EQ. 1 as EQ. 3: x = 8-y

Replace x in EQ.2 with EQ. 3:

4(8-y) - y = 7

Use the distributive property:

32 - 4y - y = 7

Combine like terms:

32 - 5y = 7

Subtract 32 from each side:

-5y = -25

Divide both sides by -5

y = -25 / -5

y = 5

Now replace y with 5 in EQ. 3 to solve for X:

x = 8-5

x = 3

The point of intersection is X = 3, Y = 5, which is written as (3,5)