Answer:
1a ) y = 25 / 21, x = - 22/21
1b ) NoSolution
Explanation:
Problem 1a )
- x + 5y - 7 = 0, and 4y - 10 = 5x
Let us first convert each to standard form ⇒
- x + 5y = 7, and -5x + 4y = 10
Solving though elimination, we would multiply the first equation by -5 then adding to the second equation, solving for y through algebra ⇒
- 5 ( - x + 5y = 7 ), ⇒ 5x - 25y = - 35 ⇒ - 21y = - 25,
+ -5x + 4y = 10 + -5x + 4y = 10 y = 25 / 21
Now let us substitute this value of y into the first equation as to solve for x:
- x + 5 ( 25 / 21 ) = 7 ⇒ -x + 125 / 21 = 7 ⇒ -x = 22/21 ⇒ x = - 22/21
Problem 1b )
12x - 4y + 28 = 0, and 16y - 110 = 48x
Let us first convert each to standard form ⇒
12x - 4y = -28, and -48x + 16y = 110
Solving though elimination, we would multiply the first equation by 4 then adding to the second equation, solving for y through algebra ⇒
4 ( 12x - 4y = -28 ), ⇒ 48x - 16y = - 112 ⇒ 0 = -2,
+ - 48x + 16y = 110 + -48x + 16y = 110 NoSolution