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x = y = 3
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
2X - 5Y = 11 - 2X + 3Y = - 9 ----------------------just add 2Y = 2 Y = 1 --------------now, insert into one of the equations to find X 2X - 5(1) = 11 2X - 5 = 11 2X = 16 X = 8 ----------------check in both equations 2(8) - 5(1) = 11 16 - 5 = 11 11 = 11 ----------------one checked - 2(8) + 3(1) = - 9 - 16 + 3 = - 9 - 13 does not equal - 9 ---------------------------------an inconsistent system; check with substitution on bottom equation - 2X + 3Y = - 9 - 2X = - 3Y - 9 X = 3/2Y + 9/2 ---------------------insert back into both equations, bottom first - 2(3/2Y + 9/2) = - 9 -3Y - 9 = - 9 obviously this is inconstant and leads to Y = 0 -----------------------------------------------------------------no need to try top, this system is inconsistent.
post an equation first.
If you mean 3x+2y = -5 and -2x+3y = -5 then they are straight line equations
If you mean: 6x-3y = -33 and 2x+y = -1 Then solving the simultaneous equations by substitution: x = -3 and y = 5
x = y = 3
2x - y = 15 2x + 3y = -21 As you observe both equations (having different slopes), you see that the system is consistent, and it has only one solution.
{-1,-2}
Without any equality signs the given terms can't be considered to be equations.
2x + 3y = 18 2x - 3y = 20
(-4,-5)
(10, 2)
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
2X - 5Y = 11 - 2X + 3Y = - 9 ----------------------just add 2Y = 2 Y = 1 --------------now, insert into one of the equations to find X 2X - 5(1) = 11 2X - 5 = 11 2X = 16 X = 8 ----------------check in both equations 2(8) - 5(1) = 11 16 - 5 = 11 11 = 11 ----------------one checked - 2(8) + 3(1) = - 9 - 16 + 3 = - 9 - 13 does not equal - 9 ---------------------------------an inconsistent system; check with substitution on bottom equation - 2X + 3Y = - 9 - 2X = - 3Y - 9 X = 3/2Y + 9/2 ---------------------insert back into both equations, bottom first - 2(3/2Y + 9/2) = - 9 -3Y - 9 = - 9 obviously this is inconstant and leads to Y = 0 -----------------------------------------------------------------no need to try top, this system is inconsistent.
2x+3y = 6 2x+3(0) = 6 2x = 6 x = 6/2 x = 3