Answer:
x=5
y=0
Explanation:
3x+2y−15=0
5x−3y−25=0
multiply the first equation by 3, and multiply the second equation by 2.
3(3x+2y−15=0)
2(5x−3y−25=0)
becomes:
9x+6y−45=0
10x−6y−50=0
add these equations to eliminate y:
19x−95=0
Then solve 19x−95=0 for x:
19x−95=0
19x−95+95=0+95 (add 95 to both sides)
19x=95
19x
19
=
95
19
(divide both sides by 19)
x=5
now that we've found x let's plug it back in to solve for y.
write down an original equation:
3x+2y−15=0
substitute 5for x in 3x+2y−15=0:
(3)(5)+2y−15=0
2y=0 (simplify both sides of the equation)
2y
2
=
0
2
(divide both sides by 2)
y=0