Solve the equation 4x 3 3x y 2y 5x 12

Asked by admin @ 22/11/2021 in Mathematics viewed by 304 People

Solve the system of equations.

3x = -31 + 2y
5x + 6y = 23
a. x = -5, y = 8
b. x = - 29, y = - 28
c.no solution
d.infinite solutions

Answered by admin @ 22/11/2021

Answer:

a. x = -5, y = 8

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x=-31+2y&\text{subtract}\ 2y\ \text{from both sides}\\5x+6y=23\end{array}\right\\\\\left\{\begin{array}{ccc}3x-2y=-31&\text{multiply both sides by 3}\\5x+6y=23\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}9x-6y=-93\\5x+6y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad14x=-70\qquad\text{divide both sides by 14}\\.\qquad x=-5\\\\\text{Put it to the second equation:}\\\\5(-5)+6y=23\\-25+6y=23\qquad\text{add 25 to both sides}\\6y=48\qquad\text{divide both sides by 6}\\y=8$

Solve the equation 4x 3 3x y 2y 5x 12

a. x = -5, y = 8

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