Question

equating coefficients coefficients of variable solve the equation 5 x + 7 Y = 17, 3 X - 2 Y=4​

Answer 1

Step-by-step explanation:

given,

5x + 7y= 17______eq(1)

3x - 2y =4_______eq(2)

from e(1),

5x+7y=17

multiply both sides by 3, so to solve equation

so, 15x + 21y= 51______eq(3)

from eq(2),

3x-2y=4

multiply both sides by 5, so to solve equation

so,15x-10y=20_______eq(4)

subtract eq(4) from eq(3)

15x+21y - (15x-10y)= 51-20

15x+21y - 15x + 10y=31

31y=31

y=1

substitute 'y' value in eq(1), so to get 'x' value

5x+7y=17

5x+7*1=17

5x+7=17

5x=17-7

5x=10

x= 2