Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]
Step-by-step explanation:
x-2y = 4
7x + 2y = 8
We will solve the equations using the substitution method so we will solve for y in one of the equations and and substitute it into the other equation to solve for x.
x - 2y = 4
-x -x
-2y = 4 - 1x Divide both sides by -2
y = 1/2 x - 2 Now use substitution
7x + 2( 1/2x -2) = 8
7x + 1x - 4 = 8
8x -4 = 8
+4 +4
8x = 12
x = 12/8 and simplifies to 3/2
the value of x is 3/2 so plot it into one of the equations and solve for y.
7(3/2) + 2y = 8
21/2 + 2y = 8
-21/2 -21/2
2y = -5/2
y = -5/4
