Question

The point of intersection between the lines 3x+ 4y = 7 and 4x –y = 3 lie in the

Answer 1

Answer:

Point of intersection is (1,1)

Step-by-step explanation:

We know that two linear equations intersect each other if the following condition is true:              $a_{1} /a_{2} \neq b_{1}/b_{2}$

Since the above condition is true for the given pair, we can find the values of x and y with the desired method. The simplest way to do this, is elimination.

                3x+4y=7   => 12x+16y=28.    4x-y=3   => 12x-3y=9

                              12x+16y=28                                                                                                                          

                             -12x+3y = -9. From this, we get 19y=19, y=1

Substituting y=1, 3x+4=7, 3x=3, x=1

Therefore (x,y) = (1,1)

                                   

Answer 2

1st quadrant

Step-by-step explanation:

...

...

...