se algebra to find the point at which the line f ( x ) = − 3/5 x − 329/50 intersects the line h ( x ) = 7/2 x + 4/5 .

Question

Use algebra to find the point at which the line  intersects the line . 

Write the values of  and  as reduced fractions or integers.

x=

y=

Answer 1

-3/5 X - 329/50 = 7/2 x + 4/5

-30x - 329 = 175 x + 40

-329 = 175 x + 40 + 30x

-329 = 205x + 40

-369 = 205 x

(-369/205)= x

check:

(-3/5)(-369/205) - 329/50 =

1107/1025 - 329/50 =

2214/2050 - 13489/2050 =

-11275/2050 = -451/82 = -11/2

(7/2)(-369/205) + 4/5 =

-2583/410 + 4/5 =

-2583/410 + 328/410

=-2255/410

= -451/82 = -11/2

The lines meet at ( x=-369/205 , y = -11/2)