Use elimination to solve
X-5y=0
2x-3y=7

x-5y=0. (times the top row by 3 and bottom 2x-3y=7. by 5 to get the y values the same)
3x-15y=0 10x-15y=35
as the signs before the y value are the same, subtract the other top values from the bottom. (all excluding the y values).
so: 3-10=-7 and 0-35=-35
-7x=-35 -x=-5 x=5
substitute your x back into any of the two equations, here I'll use 2x-3y=7
2(5)-3y=7 10-3y=7 10-7=3y 3=3y y=1
hope this helped

Answered by thebilly6788 | 2024-06-10

To solve the equations x − 5 y = 0 and 2 x − 3 y = 7 using elimination, we adjusted coefficients to eliminate one variable and found that y = 1 and subsequently x = 5 . The final solution is ( x , y ) = ( 5 , 1 ) . This can be verified by substitution back into the original equations.
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Answered by thebilly6788 | 2024-12-26