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solve the following linear systems by elimination

a. 2x+3y = 23 (1)
5x-3y = 5 (2)

b. 4x-3y= -4 (1)
3x+2y=14 (2)​

Sagot :

Item a.

Step-by-step explanation:

  • Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Given:

              [tex]\begin{cases}2x+3y = 23 \\5x-3y = 5\end{cases}[/tex]

Answer:

  • Point Form [tex]\implies (4, 5)[/tex]
  • Equation Form [tex]\implies x=4, y=5[/tex]

Item b.

Step-by-step explanation:

  • Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Given:

              [tex]\begin{cases}4x-3y= -4 \\3x+2y=14\end{cases}[/tex]

Answer:

  • Point Form [tex]\implies (2, 4)[/tex]
  • Equation Form [tex]\implies x=2, y=4[/tex]

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