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To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied
by before adding the equations together?
First equation: 6x-5y=17
Second equation: 7x + 3y = 11
The first equation should be multiplied by 3 and the second equation by -5.
O The first equation should be multiplied by 3 and the second equation by 5.
O The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.

Respuesta :

adioabiola

Based on the equation, to eliminate the x terms and solve for y in the fewest steps; the first equation should be multiplied by 3 and the second equation by 5.

Simultaneous equation

6x - 5y = 17

7x + 3y = 11

Using elimination method

  • Multiply equation (1) by 3 and (2) by 5

18x - 15y = 51

35x + 15y = 55

  • Add the equation

18x + 35x = 51 + 55

53x = 106

x = 106/53

x = 2

  • Substitute x = 2 into

6x - 5y = 17

6(2) - 5y = 17

12 - 5y = 17

-5y = 17 - 12

-5y = 5

y = 5/-5

y = -1

Therefore, the solution to the simultaneous equation; 6x - 5y = 17, 7x + 3y = 11 is x = 2 and y = -1

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