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8x+5y=9 3x+2y=4 Solve using elimination method

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8x+5y=9 3x+2y=4 Solve using elimination method

Posted by Gireesh Bhagwat 4 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

King Adithya H M... 4 years, 9 months ago

ANSWER Multiply the equation 8x+5y=9 by 3 and equation 3x+2y=4 by 3 to make the coefficients of x equal. Then we get the equations: 24x+15y=27.........(1) 24x+16y=32.........(2) Subtract Equation (1) from Equation (2) to eliminate x, because the coefficients of x are the same. So, we get (24x−24x)+(16y−15y)=32−27 i.e. y=5 Substituting this value of y in the equation 8x+5y=9, we get 8x+25=9 i.e. 8x=−16 i.e. x=−2 Hence, the solution of the equations is x=−2,y=5.

Anmol Agarwal 4 years, 9 months ago

Let 1 and 2 be equation 1 and 2 respectively Multiplying equation 1 by 2 16x+ 10y = 18---- equation 3 Multiplying equation 2 by 5 15x +10y =20------ equation 4 equation 3-equation 4 16x+10y=18 -(+15x+10y=20) ___________________ x=-2 Putting value of x in equation 3 16(-2)+10y=18 -32+10y=18 10y=18+32 10y=50 Y=50÷10 Y=10

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