Question

X+y=8, 6x-5y=15 draw the graph

Answer 1

x+y=8 ---->(1)
6x-5y=15  ------>(2)
using substitution method.
express x as a function of y (eq 1)
x=(8-y). ------>(3)

Now substitute this in equation (2)
we get,
6(8-y)-5y=15
-11y=-33
y=3.
Now , substituting y=3 in eq (3), we get
x=(8-3)=5.
x=5.
So, the solution to system of equation is (5,3) which is the point of intersection of the two lines.
(please see the graph attached)

Answer 2

Answer:

Step-by-step explanation:

x+y=8 ---->(1)

6x-5y=15  ------>(2)

using substitution method.

express x as a function of y (eq 1)

x=(8-y). ------>(3)

Now substitute this in equation (2)

we get,

6(8-y)-5y=15

-11y=-33

y=3.

Now , substituting y=3 in eq (3), we get

x=(8-3)=5.

x=5.

So, the solution to system of equation is (5,3) which is the point of intersection of the two lines.

(please see the graph attached)