SOLUTION: Please help I'm stuck on a linear equation using the ELIMINATION method. The question is as follows: 2x+3y =7 3x-2y =4 Would appreciate any help.

Question 803758: Please help I'm stuck on a linear equation using the ELIMINATION method.
The question is as follows:
2x+3y =7
3x-2y =4
Would appreciate any help.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
2x+3y =7
3x-2y =4
multiply the first equation by 2 and multiply the second equation by 3
4x+6y =14
9x-6y =12
add the resulting equations
13x =26
x = 2
substitute for x in first equation
2*2 +3y = 7
3y = 3
y = 1
check the answers by substituting the second equation
3*2 -2*1 =4
6 -2 = 4
4 =4
answers check
x = 2, y = 1

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