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1a )  y = 25 / 21, x = - 22/21

1b ) NoSolution

Step-by-step 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

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step-by-step explanation:

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