Question

solve the equation 2x+3y=4 and 3x+4y=6​

Answer 1

HI MATE HERE'S YOUR ANSWER

There is no obvious way to eliminate a variable . In this case, have to multiple both equations by a number the finally allow the elimination of a variable.Let multiply the first equation by 3 and the equation by 2.2x + 3y = 3 multiple by 3 6x + 9y = 93x + 4y = 6 multiple by 2 6x + 8y = 12Now you can add or subtract equations to eliminate a variable. We will subtract the 2nd equation from the first. x is eliminated.y = -3Now substitute back into either of the original equations. I will use the first equation.2x + 3(-3) = 32x -9 = 32x = 12x = 6 Solution Set { (6, -3) }

I HOPE THIS HELPS YOU.

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Answer 2

Answer:

2x+3y=4----(1)

3x+4y=6------(2)

multiple eq (1) by 3 and eq (2) by 2

6x+9y=12---------(3)

6x+8y=12----------(4)

subtract eq3 and eq4

6x+9y=12---------(3)

6x+9y=12---------(3)6x+8y=12----------(4)

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y=0

put y=0 in eq1

2x+3y=4----(1)

2x+3×0=4

2x+0=4

2x=4

x=4/2

x=2