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Solve the system of equations. −5x+4y=3x=2y−15x equals y equals
5 months ago
Q:
Solve the system of equations. −5x+4y=3x=2y−15x equals y equals
Accepted Solution
A:
Note: in the 2nd eqn we are given a formula for x: x = 2y-15. Sub this result into the first eqn; doing so will eliminate x:
-5(2y-15)+4y =3
-10y + 75 + 4y = 3, so -6y = -72. Then y = 12. Solution is (9,12).
Check this by subst.:
Is -5(9)+4(12) = 3?
Is -45 + 48 = 3? YES.