3x+2y=17 2x+5y=26
Elimination i need help solving it
We need to eliminate either the x or the y by adding
or subtracting the equations. In order for that to work,
the coefficients must be equal.
Multiply the first equation by 5.
5 * (3x + 2y) = 5 * 17
15x + 10y = 85
Multiply the second equation by 2.
2 * (2x + 5y) = 2 * 26
4x + 10y = 52
Subtract the re-worked second equation
from the re-worked first equation.
15x + 10y = 85
-(4x + 10y = 52)
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11x = 33
x = 3
Substitute that into one of the original equations.
2x + 5y = 26
2(3) + 5y = 26
6 + 5y = 26
5y = 26 - 6
5y = 20
y = 4
x = 3, y = 4